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Finding the Fourth Proportional to 317,422.81, 438,042.85 and 172,228.54

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Solution

The fourth proportional to 317,422.81, 438,042.85 and 172,228.54 is: 237,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,422.81 : 438,042.85 = 172,228.54 : x
  2. Step 2: Convert to fraction form
    317,422.81/438,042.85 = 172,228.54/x
  3. Step 3: Cross multiply
    317,422.81x = 438,042.85 × 172,228.54
  4. Step 4: Simplify right side
    317,422.81x = 75,443,480,512.94
  5. Step 5: Solve for x
    x = 75,443,480,512.94/317,422.81
  6. Step 6: Final answer
    x = 237,675.04

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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.