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Finding the Fourth Proportional to 884,768, 1,327,156.86 and 219,920

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Solution

The fourth proportional to 884,768, 1,327,156.86 and 219,920 is: 329,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,768 : 1,327,156.86 = 219,920 : x
  2. Step 2: Convert to fraction form
    884,768/1,327,156.86 = 219,920/x
  3. Step 3: Cross multiply
    884,768x = 1,327,156.86 × 219,920
  4. Step 4: Simplify right side
    884,768x = 291,868,336,651.20
  5. Step 5: Solve for x
    x = 291,868,336,651.20/884,768
  6. Step 6: Final answer
    x = 329,881.21

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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.