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Finding the Fourth Proportional to 421,687.71, 632,531.03 and 137,377.80

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Solution

The fourth proportional to 421,687.71, 632,531.03 and 137,377.80 is: 206,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,687.71 : 632,531.03 = 137,377.80 : x
  2. Step 2: Convert to fraction form
    421,687.71/632,531.03 = 137,377.80/x
  3. Step 3: Cross multiply
    421,687.71x = 632,531.03 × 137,377.80
  4. Step 4: Simplify right side
    421,687.71x = 86,895,720,646.25
  5. Step 5: Solve for x
    x = 86,895,720,646.25/421,687.71
  6. Step 6: Final answer
    x = 206,066.52

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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.