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Finding the Fourth Proportional to 392,474.76, 588,799.92 and 143,156.76

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Solution

The fourth proportional to 392,474.76, 588,799.92 and 143,156.76 is: 214,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,474.76 : 588,799.92 = 143,156.76 : x
  2. Step 2: Convert to fraction form
    392,474.76/588,799.92 = 143,156.76/x
  3. Step 3: Cross multiply
    392,474.76x = 588,799.92 × 143,156.76
  4. Step 4: Simplify right side
    392,474.76x = 84,290,688,835.46
  5. Step 5: Solve for x
    x = 84,290,688,835.46/392,474.76
  6. Step 6: Final answer
    x = 214,767.16

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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.