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Finding the Fourth Proportional to 428,252.76, 642,329.46 and 112,734.27

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Solution

The fourth proportional to 428,252.76, 642,329.46 and 112,734.27 is: 169,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,252.76 : 642,329.46 = 112,734.27 : x
  2. Step 2: Convert to fraction form
    428,252.76/642,329.46 = 112,734.27/x
  3. Step 3: Cross multiply
    428,252.76x = 642,329.46 × 112,734.27
  4. Step 4: Simplify right side
    428,252.76x = 72,412,542,772.59
  5. Step 5: Solve for x
    x = 72,412,542,772.59/428,252.76
  6. Step 6: Final answer
    x = 169,088.33

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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.