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Finding the Fourth Proportional to 312,409.38, 431,124.32 and 169,168.98

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Solution

The fourth proportional to 312,409.38, 431,124.32 and 169,168.98 is: 233,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,409.38 : 431,124.32 = 169,168.98 : x
  2. Step 2: Convert to fraction form
    312,409.38/431,124.32 = 169,168.98/x
  3. Step 3: Cross multiply
    312,409.38x = 431,124.32 × 169,168.98
  4. Step 4: Simplify right side
    312,409.38x = 72,932,861,467.59
  5. Step 5: Solve for x
    x = 72,932,861,467.59/312,409.38
  6. Step 6: Final answer
    x = 233,452.85

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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.