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Finding the Fourth Proportional to 542,548.38, 748,680.12 and 313,115.25

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Solution

The fourth proportional to 542,548.38, 748,680.12 and 313,115.25 is: 432,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,548.38 : 748,680.12 = 313,115.25 : x
  2. Step 2: Convert to fraction form
    542,548.38/748,680.12 = 313,115.25/x
  3. Step 3: Cross multiply
    542,548.38x = 748,680.12 × 313,115.25
  4. Step 4: Simplify right side
    542,548.38x = 234,423,162,943.83
  5. Step 5: Solve for x
    x = 234,423,162,943.83/542,548.38
  6. Step 6: Final answer
    x = 432,077.90

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.