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Finding the Fourth Proportional to 406,799.66, 609,775.86 and 136,727.30

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Solution

The fourth proportional to 406,799.66, 609,775.86 and 136,727.30 is: 204,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,799.66 : 609,775.86 = 136,727.30 : x
  2. Step 2: Convert to fraction form
    406,799.66/609,775.86 = 136,727.30/x
  3. Step 3: Cross multiply
    406,799.66x = 609,775.86 × 136,727.30
  4. Step 4: Simplify right side
    406,799.66x = 83,373,006,942.98
  5. Step 5: Solve for x
    x = 83,373,006,942.98/406,799.66
  6. Step 6: Final answer
    x = 204,948.57

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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.