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Finding the Fourth Proportional to 428,170.62, 642,100.88 and 143,776.10

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Solution

The fourth proportional to 428,170.62, 642,100.88 and 143,776.10 is: 215,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,170.62 : 642,100.88 = 143,776.10 : x
  2. Step 2: Convert to fraction form
    428,170.62/642,100.88 = 143,776.10/x
  3. Step 3: Cross multiply
    428,170.62x = 642,100.88 × 143,776.10
  4. Step 4: Simplify right side
    428,170.62x = 92,318,760,332.97
  5. Step 5: Solve for x
    x = 92,318,760,332.97/428,170.62
  6. Step 6: Final answer
    x = 215,612.09

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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.