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Finding the Fourth Proportional to 418,419.73, 627,594.02 and 165,631.48

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Solution

The fourth proportional to 418,419.73, 627,594.02 and 165,631.48 is: 248,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,419.73 : 627,594.02 = 165,631.48 : x
  2. Step 2: Convert to fraction form
    418,419.73/627,594.02 = 165,631.48/x
  3. Step 3: Cross multiply
    418,419.73x = 627,594.02 × 165,631.48
  4. Step 4: Simplify right side
    418,419.73x = 103,949,329,057.62
  5. Step 5: Solve for x
    x = 103,949,329,057.62/418,419.73
  6. Step 6: Final answer
    x = 248,433.15

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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.