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Finding the Fourth Proportional to 406,376.53, 609,593.99 and 140,133.20

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Solution

The fourth proportional to 406,376.53, 609,593.99 and 140,133.20 is: 210,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,376.53 : 609,593.99 = 140,133.20 : x
  2. Step 2: Convert to fraction form
    406,376.53/609,593.99 = 140,133.20/x
  3. Step 3: Cross multiply
    406,376.53x = 609,593.99 × 140,133.20
  4. Step 4: Simplify right side
    406,376.53x = 85,424,352,770.83
  5. Step 5: Solve for x
    x = 85,424,352,770.83/406,376.53
  6. Step 6: Final answer
    x = 210,209.86

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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.