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Finding the Fourth Proportional to 376,493.20, 564,809.73 and 123,787.78

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Solution

The fourth proportional to 376,493.20, 564,809.73 and 123,787.78 is: 185,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,493.20 : 564,809.73 = 123,787.78 : x
  2. Step 2: Convert to fraction form
    376,493.20/564,809.73 = 123,787.78/x
  3. Step 3: Cross multiply
    376,493.20x = 564,809.73 × 123,787.78
  4. Step 4: Simplify right side
    376,493.20x = 69,916,542,599.10
  5. Step 5: Solve for x
    x = 69,916,542,599.10/376,493.20
  6. Step 6: Final answer
    x = 185,704.66

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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.