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Finding the Fourth Proportional to 578,988.22, 868,546.50 and 199,866

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Solution

The fourth proportional to 578,988.22, 868,546.50 and 199,866 is: 299,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,988.22 : 868,546.50 = 199,866 : x
  2. Step 2: Convert to fraction form
    578,988.22/868,546.50 = 199,866/x
  3. Step 3: Cross multiply
    578,988.22x = 868,546.50 × 199,866
  4. Step 4: Simplify right side
    578,988.22x = 173,592,914,769
  5. Step 5: Solve for x
    x = 173,592,914,769/578,988.22
  6. Step 6: Final answer
    x = 299,821.15

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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.