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Finding the Fourth Proportional to 420,761.71, 631,148.14 and 140,279.05

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Solution

The fourth proportional to 420,761.71, 631,148.14 and 140,279.05 is: 210,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,761.71 : 631,148.14 = 140,279.05 : x
  2. Step 2: Convert to fraction form
    420,761.71/631,148.14 = 140,279.05/x
  3. Step 3: Cross multiply
    420,761.71x = 631,148.14 × 140,279.05
  4. Step 4: Simplify right side
    420,761.71x = 88,536,858,332.73
  5. Step 5: Solve for x
    x = 88,536,858,332.73/420,761.71
  6. Step 6: Final answer
    x = 210,420.43

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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.