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Finding the Fourth Proportional to 418,310.40, 627,465.60 and 137,791.20

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Solution

The fourth proportional to 418,310.40, 627,465.60 and 137,791.20 is: 206,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,310.40 : 627,465.60 = 137,791.20 : x
  2. Step 2: Convert to fraction form
    418,310.40/627,465.60 = 137,791.20/x
  3. Step 3: Cross multiply
    418,310.40x = 627,465.60 × 137,791.20
  4. Step 4: Simplify right side
    418,310.40x = 86,459,237,982.72
  5. Step 5: Solve for x
    x = 86,459,237,982.72/418,310.40
  6. Step 6: Final answer
    x = 206,686.80

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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.