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Finding the Fourth Proportional to 542,088, 748,061.28 and 312,654.78

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Solution

The fourth proportional to 542,088, 748,061.28 and 312,654.78 is: 431,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,088 : 748,061.28 = 312,654.78 : x
  2. Step 2: Convert to fraction form
    542,088/748,061.28 = 312,654.78/x
  3. Step 3: Cross multiply
    542,088x = 748,061.28 × 312,654.78
  4. Step 4: Simplify right side
    542,088x = 233,884,934,924.92
  5. Step 5: Solve for x
    x = 233,884,934,924.92/542,088
  6. Step 6: Final answer
    x = 431,451.97

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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.