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Finding the Fourth Proportional to 406,706.20, 610,155.90 and 140,468.92

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Solution

The fourth proportional to 406,706.20, 610,155.90 and 140,468.92 is: 210,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,706.20 : 610,155.90 = 140,468.92 : x
  2. Step 2: Convert to fraction form
    406,706.20/610,155.90 = 140,468.92/x
  3. Step 3: Cross multiply
    406,706.20x = 610,155.90 × 140,468.92
  4. Step 4: Simplify right side
    406,706.20x = 85,707,940,304.63
  5. Step 5: Solve for x
    x = 85,707,940,304.63/406,706.20
  6. Step 6: Final answer
    x = 210,736.74

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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.