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Finding the Fourth Proportional to 406,462.80, 609,694.20 and 256,215.90

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Solution

The fourth proportional to 406,462.80, 609,694.20 and 256,215.90 is: 384,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,462.80 : 609,694.20 = 256,215.90 : x
  2. Step 2: Convert to fraction form
    406,462.80/609,694.20 = 256,215.90/x
  3. Step 3: Cross multiply
    406,462.80x = 609,694.20 × 256,215.90
  4. Step 4: Simplify right side
    406,462.80x = 156,213,348,177.78
  5. Step 5: Solve for x
    x = 156,213,348,177.78/406,462.80
  6. Step 6: Final answer
    x = 384,323.85

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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.