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Finding the Fourth Proportional to 393,472.98, 589,687.02 and 156,685.68

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Solution

The fourth proportional to 393,472.98, 589,687.02 and 156,685.68 is: 234,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,472.98 : 589,687.02 = 156,685.68 : x
  2. Step 2: Convert to fraction form
    393,472.98/589,687.02 = 156,685.68/x
  3. Step 3: Cross multiply
    393,472.98x = 589,687.02 × 156,685.68
  4. Step 4: Simplify right side
    393,472.98x = 92,395,511,715.87
  5. Step 5: Solve for x
    x = 92,395,511,715.87/393,472.98
  6. Step 6: Final answer
    x = 234,820.47

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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.