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Finding the Fourth Proportional to 542,319.88, 748,428.96 and 312,791.80

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Solution

The fourth proportional to 542,319.88, 748,428.96 and 312,791.80 is: 431,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,319.88 : 748,428.96 = 312,791.80 : x
  2. Step 2: Convert to fraction form
    542,319.88/748,428.96 = 312,791.80/x
  3. Step 3: Cross multiply
    542,319.88x = 748,428.96 × 312,791.80
  4. Step 4: Simplify right side
    542,319.88x = 234,102,441,570.53
  5. Step 5: Solve for x
    x = 234,102,441,570.53/542,319.88
  6. Step 6: Final answer
    x = 431,668.56

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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.