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Finding the Fourth Proportional to 381,373.76, 571,979.64 and 144,633.44

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Solution

The fourth proportional to 381,373.76, 571,979.64 and 144,633.44 is: 216,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,373.76 : 571,979.64 = 144,633.44 : x
  2. Step 2: Convert to fraction form
    381,373.76/571,979.64 = 144,633.44/x
  3. Step 3: Cross multiply
    381,373.76x = 571,979.64 × 144,633.44
  4. Step 4: Simplify right side
    381,373.76x = 82,727,382,943.16
  5. Step 5: Solve for x
    x = 82,727,382,943.16/381,373.76
  6. Step 6: Final answer
    x = 216,919.44

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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.