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Finding the Fourth Proportional to 317,957.28, 438,655.32 and 204,846

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Solution

The fourth proportional to 317,957.28, 438,655.32 and 204,846 is: 282,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,957.28 : 438,655.32 = 204,846 : x
  2. Step 2: Convert to fraction form
    317,957.28/438,655.32 = 204,846/x
  3. Step 3: Cross multiply
    317,957.28x = 438,655.32 × 204,846
  4. Step 4: Simplify right side
    317,957.28x = 89,856,787,680.72
  5. Step 5: Solve for x
    x = 89,856,787,680.72/317,957.28
  6. Step 6: Final answer
    x = 282,606.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.