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Finding the Fourth Proportional to 312,342.96, 431,032.74 and 169,103

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Solution

The fourth proportional to 312,342.96, 431,032.74 and 169,103 is: 233,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,342.96 : 431,032.74 = 169,103 : x
  2. Step 2: Convert to fraction form
    312,342.96/431,032.74 = 169,103/x
  3. Step 3: Cross multiply
    312,342.96x = 431,032.74 × 169,103
  4. Step 4: Simplify right side
    312,342.96x = 72,888,929,432.22
  5. Step 5: Solve for x
    x = 72,888,929,432.22/312,342.96
  6. Step 6: Final answer
    x = 233,361.85

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1.5x scale

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.