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Finding the Fourth Proportional to 428,031.12, 642,153.18 and 128,517

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Solution

The fourth proportional to 428,031.12, 642,153.18 and 128,517 is: 192,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,031.12 : 642,153.18 = 128,517 : x
  2. Step 2: Convert to fraction form
    428,031.12/642,153.18 = 128,517/x
  3. Step 3: Cross multiply
    428,031.12x = 642,153.18 × 128,517
  4. Step 4: Simplify right side
    428,031.12x = 82,527,600,234.06
  5. Step 5: Solve for x
    x = 82,527,600,234.06/428,031.12
  6. Step 6: Final answer
    x = 192,807.48

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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.