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Finding the Fourth Proportional to 578,990.22, 868,549.50 and 199,868

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Solution

The fourth proportional to 578,990.22, 868,549.50 and 199,868 is: 299,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,990.22 : 868,549.50 = 199,868 : x
  2. Step 2: Convert to fraction form
    578,990.22/868,549.50 = 199,868/x
  3. Step 3: Cross multiply
    578,990.22x = 868,549.50 × 199,868
  4. Step 4: Simplify right side
    578,990.22x = 173,595,251,466
  5. Step 5: Solve for x
    x = 173,595,251,466/578,990.22
  6. Step 6: Final answer
    x = 299,824.15

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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.