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Finding the Fourth Proportional to 418,425.40, 627,638.10 and 137,906.20

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Solution

The fourth proportional to 418,425.40, 627,638.10 and 137,906.20 is: 206,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,425.40 : 627,638.10 = 137,906.20 : x
  2. Step 2: Convert to fraction form
    418,425.40/627,638.10 = 137,906.20/x
  3. Step 3: Cross multiply
    418,425.40x = 627,638.10 × 137,906.20
  4. Step 4: Simplify right side
    418,425.40x = 86,555,185,346.22
  5. Step 5: Solve for x
    x = 86,555,185,346.22/418,425.40
  6. Step 6: Final answer
    x = 206,859.30

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1.5x scale

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.