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Finding the Fourth Proportional to 428,125.87, 642,190.32 and 143,808.29

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Solution

The fourth proportional to 428,125.87, 642,190.32 and 143,808.29 is: 215,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,125.87 : 642,190.32 = 143,808.29 : x
  2. Step 2: Convert to fraction form
    428,125.87/642,190.32 = 143,808.29/x
  3. Step 3: Cross multiply
    428,125.87x = 642,190.32 × 143,808.29
  4. Step 4: Simplify right side
    428,125.87x = 92,352,288,562.80
  5. Step 5: Solve for x
    x = 92,352,288,562.80/428,125.87
  6. Step 6: Final answer
    x = 215,712.94

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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.