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Finding the Fourth Proportional to 542,113.57, 748,063.47 and 312,691.87

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Solution

The fourth proportional to 542,113.57, 748,063.47 and 312,691.87 is: 431,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,113.57 : 748,063.47 = 312,691.87 : x
  2. Step 2: Convert to fraction form
    542,113.57/748,063.47 = 312,691.87/x
  3. Step 3: Cross multiply
    542,113.57x = 748,063.47 × 312,691.87
  4. Step 4: Simplify right side
    542,113.57x = 233,913,365,312.99
  5. Step 5: Solve for x
    x = 233,913,365,312.99/542,113.57
  6. Step 6: Final answer
    x = 431,484.06

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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.