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Finding the Fourth Proportional to 418,127.04, 627,287.76 and 137,646.72

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Solution

The fourth proportional to 418,127.04, 627,287.76 and 137,646.72 is: 206,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,127.04 : 627,287.76 = 137,646.72 : x
  2. Step 2: Convert to fraction form
    418,127.04/627,287.76 = 137,646.72/x
  3. Step 3: Cross multiply
    418,127.04x = 627,287.76 × 137,646.72
  4. Step 4: Simplify right side
    418,127.04x = 86,344,102,660.15
  5. Step 5: Solve for x
    x = 86,344,102,660.15/418,127.04
  6. Step 6: Final answer
    x = 206,502.08

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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.