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Finding the Fourth Proportional to 406,377.53, 609,595.49 and 140,134.20

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Solution

The fourth proportional to 406,377.53, 609,595.49 and 140,134.20 is: 210,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,377.53 : 609,595.49 = 140,134.20 : x
  2. Step 2: Convert to fraction form
    406,377.53/609,595.49 = 140,134.20/x
  3. Step 3: Cross multiply
    406,377.53x = 609,595.49 × 140,134.20
  4. Step 4: Simplify right side
    406,377.53x = 85,425,176,314.76
  5. Step 5: Solve for x
    x = 85,425,176,314.76/406,377.53
  6. Step 6: Final answer
    x = 210,211.37

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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.