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Finding the Fourth Proportional to 242,486.28, 363,787.92 and 76,274.28

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Solution

The fourth proportional to 242,486.28, 363,787.92 and 76,274.28 is: 114,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,486.28 : 363,787.92 = 76,274.28 : x
  2. Step 2: Convert to fraction form
    242,486.28/363,787.92 = 76,274.28/x
  3. Step 3: Cross multiply
    242,486.28x = 363,787.92 × 76,274.28
  4. Step 4: Simplify right side
    242,486.28x = 27,747,661,670.70
  5. Step 5: Solve for x
    x = 27,747,661,670.70/242,486.28
  6. Step 6: Final answer
    x = 114,429.82

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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.