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Finding the Fourth Proportional to 406,348.51, 609,562.86 and 140,073.97

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Solution

The fourth proportional to 406,348.51, 609,562.86 and 140,073.97 is: 210,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,348.51 : 609,562.86 = 140,073.97 : x
  2. Step 2: Convert to fraction form
    406,348.51/609,562.86 = 140,073.97/x
  3. Step 3: Cross multiply
    406,348.51x = 609,562.86 × 140,073.97
  4. Step 4: Simplify right side
    406,348.51x = 85,383,889,764.75
  5. Step 5: Solve for x
    x = 85,383,889,764.75/406,348.51
  6. Step 6: Final answer
    x = 210,124.78

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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.