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Finding the Fourth Proportional to 420,691.50, 631,037.25 and 125,203.50

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Solution

The fourth proportional to 420,691.50, 631,037.25 and 125,203.50 is: 187,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,691.50 : 631,037.25 = 125,203.50 : x
  2. Step 2: Convert to fraction form
    420,691.50/631,037.25 = 125,203.50/x
  3. Step 3: Cross multiply
    420,691.50x = 631,037.25 × 125,203.50
  4. Step 4: Simplify right side
    420,691.50x = 79,008,072,330.38
  5. Step 5: Solve for x
    x = 79,008,072,330.38/420,691.50
  6. Step 6: Final answer
    x = 187,805.25

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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.