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Finding the Fourth Proportional to 418,260.60, 627,410.34 and 137,780.28

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Solution

The fourth proportional to 418,260.60, 627,410.34 and 137,780.28 is: 206,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,260.60 : 627,410.34 = 137,780.28 : x
  2. Step 2: Convert to fraction form
    418,260.60/627,410.34 = 137,780.28/x
  3. Step 3: Cross multiply
    418,260.60x = 627,410.34 × 137,780.28
  4. Step 4: Simplify right side
    418,260.60x = 86,444,772,320.10
  5. Step 5: Solve for x
    x = 86,444,772,320.10/418,260.60
  6. Step 6: Final answer
    x = 206,676.82

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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.