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Finding the Fourth Proportional to 406,710.59, 609,659.87 and 140,301.18

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Solution

The fourth proportional to 406,710.59, 609,659.87 and 140,301.18 is: 210,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,710.59 : 609,659.87 = 140,301.18 : x
  2. Step 2: Convert to fraction form
    406,710.59/609,659.87 = 140,301.18/x
  3. Step 3: Cross multiply
    406,710.59x = 609,659.87 × 140,301.18
  4. Step 4: Simplify right side
    406,710.59x = 85,535,998,458.14
  5. Step 5: Solve for x
    x = 85,535,998,458.14/406,710.59
  6. Step 6: Final answer
    x = 210,311.71

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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.