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Finding the Fourth Proportional to 515,385.64, 773,151.32 and 199,874.44

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Solution

The fourth proportional to 515,385.64, 773,151.32 and 199,874.44 is: 299,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,385.64 : 773,151.32 = 199,874.44 : x
  2. Step 2: Convert to fraction form
    515,385.64/773,151.32 = 199,874.44/x
  3. Step 3: Cross multiply
    515,385.64x = 773,151.32 × 199,874.44
  4. Step 4: Simplify right side
    515,385.64x = 154,533,187,120.26
  5. Step 5: Solve for x
    x = 154,533,187,120.26/515,385.64
  6. Step 6: Final answer
    x = 299,839.92

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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.