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Finding the Fourth Proportional to 884,829, 1,327,248.36 and 219,981

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Solution

The fourth proportional to 884,829, 1,327,248.36 and 219,981 is: 329,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,829 : 1,327,248.36 = 219,981 : x
  2. Step 2: Convert to fraction form
    884,829/1,327,248.36 = 219,981/x
  3. Step 3: Cross multiply
    884,829x = 1,327,248.36 × 219,981
  4. Step 4: Simplify right side
    884,829x = 291,969,421,481.16
  5. Step 5: Solve for x
    x = 291,969,421,481.16/884,829
  6. Step 6: Final answer
    x = 329,972.71

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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.