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Finding the Fourth Proportional to 438,534.80, 657,399 and 157,983.44

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Solution

The fourth proportional to 438,534.80, 657,399 and 157,983.44 is: 236,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,534.80 : 657,399 = 157,983.44 : x
  2. Step 2: Convert to fraction form
    438,534.80/657,399 = 157,983.44/x
  3. Step 3: Cross multiply
    438,534.80x = 657,399 × 157,983.44
  4. Step 4: Simplify right side
    438,534.80x = 103,858,155,472.56
  5. Step 5: Solve for x
    x = 103,858,155,472.56/438,534.80
  6. Step 6: Final answer
    x = 236,829.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.