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Finding the Fourth Proportional to 381,633.12, 572,410.80 and 101,178.72

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Solution

The fourth proportional to 381,633.12, 572,410.80 and 101,178.72 is: 151,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,633.12 : 572,410.80 = 101,178.72 : x
  2. Step 2: Convert to fraction form
    381,633.12/572,410.80 = 101,178.72/x
  3. Step 3: Cross multiply
    381,633.12x = 572,410.80 × 101,178.72
  4. Step 4: Simplify right side
    381,633.12x = 57,915,792,058.18
  5. Step 5: Solve for x
    x = 57,915,792,058.18/381,633.12
  6. Step 6: Final answer
    x = 151,757.77

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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.