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Finding the Fourth Proportional to 406,542.67, 609,910.90 and 140,305.50

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Solution

The fourth proportional to 406,542.67, 609,910.90 and 140,305.50 is: 210,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,542.67 : 609,910.90 = 140,305.50 : x
  2. Step 2: Convert to fraction form
    406,542.67/609,910.90 = 140,305.50/x
  3. Step 3: Cross multiply
    406,542.67x = 609,910.90 × 140,305.50
  4. Step 4: Simplify right side
    406,542.67x = 85,573,853,429.19
  5. Step 5: Solve for x
    x = 85,573,853,429.19/406,542.67
  6. Step 6: Final answer
    x = 210,491.69

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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.