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Finding the Fourth Proportional to 393,414.64, 590,121.42 and 156,923.38

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Solution

The fourth proportional to 393,414.64, 590,121.42 and 156,923.38 is: 235,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,414.64 : 590,121.42 = 156,923.38 : x
  2. Step 2: Convert to fraction form
    393,414.64/590,121.42 = 156,923.38/x
  3. Step 3: Cross multiply
    393,414.64x = 590,121.42 × 156,923.38
  4. Step 4: Simplify right side
    393,414.64x = 92,603,847,836.80
  5. Step 5: Solve for x
    x = 92,603,847,836.80/393,414.64
  6. Step 6: Final answer
    x = 235,384.85

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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.