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Finding the Fourth Proportional to 423,272.80, 634,909.20 and 406,943.20

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Solution

The fourth proportional to 423,272.80, 634,909.20 and 406,943.20 is: 610,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,272.80 : 634,909.20 = 406,943.20 : x
  2. Step 2: Convert to fraction form
    423,272.80/634,909.20 = 406,943.20/x
  3. Step 3: Cross multiply
    423,272.80x = 634,909.20 × 406,943.20
  4. Step 4: Simplify right side
    423,272.80x = 258,371,981,557.44
  5. Step 5: Solve for x
    x = 258,371,981,557.44/423,272.80
  6. Step 6: Final answer
    x = 610,414.80

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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.