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Finding the Fourth Proportional to 542,834.30, 814,251.45 and 385,370.30

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Solution

The fourth proportional to 542,834.30, 814,251.45 and 385,370.30 is: 578,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834.30 : 814,251.45 = 385,370.30 : x
  2. Step 2: Convert to fraction form
    542,834.30/814,251.45 = 385,370.30/x
  3. Step 3: Cross multiply
    542,834.30x = 814,251.45 × 385,370.30
  4. Step 4: Simplify right side
    542,834.30x = 313,788,325,561.94
  5. Step 5: Solve for x
    x = 313,788,325,561.94/542,834.30
  6. Step 6: Final answer
    x = 578,055.45

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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.