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Finding the Fourth Proportional to 234,278.28, 351,414.32 and 56,786.90

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Solution

The fourth proportional to 234,278.28, 351,414.32 and 56,786.90 is: 85,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,278.28 : 351,414.32 = 56,786.90 : x
  2. Step 2: Convert to fraction form
    234,278.28/351,414.32 = 56,786.90/x
  3. Step 3: Cross multiply
    234,278.28x = 351,414.32 × 56,786.90
  4. Step 4: Simplify right side
    234,278.28x = 19,955,727,807.40
  5. Step 5: Solve for x
    x = 19,955,727,807.40/234,278.28
  6. Step 6: Final answer
    x = 85,179.59

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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.