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Finding the Fourth Proportional to 428,253.12, 642,330 and 112,734.66

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Solution

The fourth proportional to 428,253.12, 642,330 and 112,734.66 is: 169,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,253.12 : 642,330 = 112,734.66 : x
  2. Step 2: Convert to fraction form
    428,253.12/642,330 = 112,734.66/x
  3. Step 3: Cross multiply
    428,253.12x = 642,330 × 112,734.66
  4. Step 4: Simplify right side
    428,253.12x = 72,412,854,157.80
  5. Step 5: Solve for x
    x = 72,412,854,157.80/428,253.12
  6. Step 6: Final answer
    x = 169,088.91

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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.