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Finding the Fourth Proportional to 428,545.60, 642,703.20 and 129,025.60

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Solution

The fourth proportional to 428,545.60, 642,703.20 and 129,025.60 is: 193,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,545.60 : 642,703.20 = 129,025.60 : x
  2. Step 2: Convert to fraction form
    428,545.60/642,703.20 = 129,025.60/x
  3. Step 3: Cross multiply
    428,545.60x = 642,703.20 × 129,025.60
  4. Step 4: Simplify right side
    428,545.60x = 82,925,166,001.92
  5. Step 5: Solve for x
    x = 82,925,166,001.92/428,545.60
  6. Step 6: Final answer
    x = 193,503.72

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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.