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Finding the Fourth Proportional to 312,409.87, 431,125 and 169,169.47

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Solution

The fourth proportional to 312,409.87, 431,125 and 169,169.47 is: 233,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,409.87 : 431,125 = 169,169.47 : x
  2. Step 2: Convert to fraction form
    312,409.87/431,125 = 169,169.47/x
  3. Step 3: Cross multiply
    312,409.87x = 431,125 × 169,169.47
  4. Step 4: Simplify right side
    312,409.87x = 72,933,187,753.75
  5. Step 5: Solve for x
    x = 72,933,187,753.75/312,409.87
  6. Step 6: Final answer
    x = 233,453.53

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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.