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Finding the Fourth Proportional to 219,290, 328,987 and 71,546

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Solution

The fourth proportional to 219,290, 328,987 and 71,546 is: 107,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,290 : 328,987 = 71,546 : x
  2. Step 2: Convert to fraction form
    219,290/328,987 = 71,546/x
  3. Step 3: Cross multiply
    219,290x = 328,987 × 71,546
  4. Step 4: Simplify right side
    219,290x = 23,537,703,902
  5. Step 5: Solve for x
    x = 23,537,703,902/219,290
  6. Step 6: Final answer
    x = 107,335.97

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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.