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Finding the Fourth Proportional to 418,078.44, 627,195.42 and 137,615.40

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Solution

The fourth proportional to 418,078.44, 627,195.42 and 137,615.40 is: 206,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,078.44 : 627,195.42 = 137,615.40 : x
  2. Step 2: Convert to fraction form
    418,078.44/627,195.42 = 137,615.40/x
  3. Step 3: Cross multiply
    418,078.44x = 627,195.42 × 137,615.40
  4. Step 4: Simplify right side
    418,078.44x = 86,311,748,601.47
  5. Step 5: Solve for x
    x = 86,311,748,601.47/418,078.44
  6. Step 6: Final answer
    x = 206,448.70

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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.