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Finding the Fourth Proportional to 542,391.71, 748,507.32 and 312,996.60

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Solution

The fourth proportional to 542,391.71, 748,507.32 and 312,996.60 is: 431,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,391.71 : 748,507.32 = 312,996.60 : x
  2. Step 2: Convert to fraction form
    542,391.71/748,507.32 = 312,996.60/x
  3. Step 3: Cross multiply
    542,391.71x = 748,507.32 × 312,996.60
  4. Step 4: Simplify right side
    542,391.71x = 234,280,246,235.11
  5. Step 5: Solve for x
    x = 234,280,246,235.11/542,391.71
  6. Step 6: Final answer
    x = 431,939.21

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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.