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Finding the Fourth Proportional to 418,115.96, 627,388.46 and 204,879.87

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Solution

The fourth proportional to 418,115.96, 627,388.46 and 204,879.87 is: 307,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,115.96 : 627,388.46 = 204,879.87 : x
  2. Step 2: Convert to fraction form
    418,115.96/627,388.46 = 204,879.87/x
  3. Step 3: Cross multiply
    418,115.96x = 627,388.46 × 204,879.87
  4. Step 4: Simplify right side
    418,115.96x = 128,539,265,868.20
  5. Step 5: Solve for x
    x = 128,539,265,868.20/418,115.96
  6. Step 6: Final answer
    x = 307,424.92

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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.