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Finding the Fourth Proportional to 312,425.92, 431,148 and 169,186.12

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Solution

The fourth proportional to 312,425.92, 431,148 and 169,186.12 is: 233,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,425.92 : 431,148 = 169,186.12 : x
  2. Step 2: Convert to fraction form
    312,425.92/431,148 = 169,186.12/x
  3. Step 3: Cross multiply
    312,425.92x = 431,148 × 169,186.12
  4. Step 4: Simplify right side
    312,425.92x = 72,944,257,265.76
  5. Step 5: Solve for x
    x = 72,944,257,265.76/312,425.92
  6. Step 6: Final answer
    x = 233,476.97

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Double scale
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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.