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Finding the Fourth Proportional to 392,945.76, 589,526.97 and 156,454.50

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Solution

The fourth proportional to 392,945.76, 589,526.97 and 156,454.50 is: 234,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,945.76 : 589,526.97 = 156,454.50 : x
  2. Step 2: Convert to fraction form
    392,945.76/589,526.97 = 156,454.50/x
  3. Step 3: Cross multiply
    392,945.76x = 589,526.97 × 156,454.50
  4. Step 4: Simplify right side
    392,945.76x = 92,234,147,327.87
  5. Step 5: Solve for x
    x = 92,234,147,327.87/392,945.76
  6. Step 6: Final answer
    x = 234,724.88

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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.