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Finding the Fourth Proportional to 312,407.31, 431,124.15 and 169,167.35

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Solution

The fourth proportional to 312,407.31, 431,124.15 and 169,167.35 is: 233,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,407.31 : 431,124.15 = 169,167.35 : x
  2. Step 2: Convert to fraction form
    312,407.31/431,124.15 = 169,167.35/x
  3. Step 3: Cross multiply
    312,407.31x = 431,124.15 × 169,167.35
  4. Step 4: Simplify right side
    312,407.31x = 72,932,131,688.69
  5. Step 5: Solve for x
    x = 72,932,131,688.69/312,407.31
  6. Step 6: Final answer
    x = 233,452.06

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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.