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Finding the Fourth Proportional to 418,211.64, 627,306.53 and 151,977.20

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Solution

The fourth proportional to 418,211.64, 627,306.53 and 151,977.20 is: 227,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,211.64 : 627,306.53 = 151,977.20 : x
  2. Step 2: Convert to fraction form
    418,211.64/627,306.53 = 151,977.20/x
  3. Step 3: Cross multiply
    418,211.64x = 627,306.53 × 151,977.20
  4. Step 4: Simplify right side
    418,211.64x = 95,336,286,074.70
  5. Step 5: Solve for x
    x = 95,336,286,074.70/418,211.64
  6. Step 6: Final answer
    x = 227,961.82

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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.