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Finding the Fourth Proportional to 884,818, 1,327,231.86 and 219,970

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Solution

The fourth proportional to 884,818, 1,327,231.86 and 219,970 is: 329,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,818 : 1,327,231.86 = 219,970 : x
  2. Step 2: Convert to fraction form
    884,818/1,327,231.86 = 219,970/x
  3. Step 3: Cross multiply
    884,818x = 1,327,231.86 × 219,970
  4. Step 4: Simplify right side
    884,818x = 291,951,192,244.20
  5. Step 5: Solve for x
    x = 291,951,192,244.20/884,818
  6. Step 6: Final answer
    x = 329,956.21

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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.