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Finding the Fourth Proportional to 447,508.97, 671,196.78 and 147,991.12

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Solution

The fourth proportional to 447,508.97, 671,196.78 and 147,991.12 is: 221,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,508.97 : 671,196.78 = 147,991.12 : x
  2. Step 2: Convert to fraction form
    447,508.97/671,196.78 = 147,991.12/x
  3. Step 3: Cross multiply
    447,508.97x = 671,196.78 × 147,991.12
  4. Step 4: Simplify right side
    447,508.97x = 99,331,159,856.61
  5. Step 5: Solve for x
    x = 99,331,159,856.61/447,508.97
  6. Step 6: Final answer
    x = 221,964.62

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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.