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Finding the Fourth Proportional to 418,498.68, 627,742.60 and 102,958.32

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Solution

The fourth proportional to 418,498.68, 627,742.60 and 102,958.32 is: 154,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,498.68 : 627,742.60 = 102,958.32 : x
  2. Step 2: Convert to fraction form
    418,498.68/627,742.60 = 102,958.32/x
  3. Step 3: Cross multiply
    418,498.68x = 627,742.60 × 102,958.32
  4. Step 4: Simplify right side
    418,498.68x = 64,631,323,488.43
  5. Step 5: Solve for x
    x = 64,631,323,488.43/418,498.68
  6. Step 6: Final answer
    x = 154,436.15

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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.