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Finding the Fourth Proportional to 389,874.28, 584,340.18 and 189,895

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Solution

The fourth proportional to 389,874.28, 584,340.18 and 189,895 is: 284,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,874.28 : 584,340.18 = 189,895 : x
  2. Step 2: Convert to fraction form
    389,874.28/584,340.18 = 189,895/x
  3. Step 3: Cross multiply
    389,874.28x = 584,340.18 × 189,895
  4. Step 4: Simplify right side
    389,874.28x = 110,963,278,481.10
  5. Step 5: Solve for x
    x = 110,963,278,481.10/389,874.28
  6. Step 6: Final answer
    x = 284,612.97

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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.