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Finding the Fourth Proportional to 508,902.20, 763,353.30 and 287,718.20

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Solution

The fourth proportional to 508,902.20, 763,353.30 and 287,718.20 is: 431,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,902.20 : 763,353.30 = 287,718.20 : x
  2. Step 2: Convert to fraction form
    508,902.20/763,353.30 = 287,718.20/x
  3. Step 3: Cross multiply
    508,902.20x = 763,353.30 × 287,718.20
  4. Step 4: Simplify right side
    508,902.20x = 219,630,637,440.06
  5. Step 5: Solve for x
    x = 219,630,637,440.06/508,902.20
  6. Step 6: Final answer
    x = 431,577.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.