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Finding the Fourth Proportional to 508,910.20, 763,365.30 and 430,178.20

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Solution

The fourth proportional to 508,910.20, 763,365.30 and 430,178.20 is: 645,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,910.20 : 763,365.30 = 430,178.20 : x
  2. Step 2: Convert to fraction form
    508,910.20/763,365.30 = 430,178.20/x
  3. Step 3: Cross multiply
    508,910.20x = 763,365.30 × 430,178.20
  4. Step 4: Simplify right side
    508,910.20x = 328,383,110,696.46
  5. Step 5: Solve for x
    x = 328,383,110,696.46/508,910.20
  6. Step 6: Final answer
    x = 645,267.30

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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.