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Finding the Fourth Proportional to 428,152.96, 642,229.44 and 178,660

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Solution

The fourth proportional to 428,152.96, 642,229.44 and 178,660 is: 267,990

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,152.96 : 642,229.44 = 178,660 : x
  2. Step 2: Convert to fraction form
    428,152.96/642,229.44 = 178,660/x
  3. Step 3: Cross multiply
    428,152.96x = 642,229.44 × 178,660
  4. Step 4: Simplify right side
    428,152.96x = 114,740,711,750.40
  5. Step 5: Solve for x
    x = 114,740,711,750.40/428,152.96
  6. Step 6: Final answer
    x = 267,990

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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.