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Finding the Fourth Proportional to 312,177.59, 430,808.10 and 168,940.61

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Solution

The fourth proportional to 312,177.59, 430,808.10 and 168,940.61 is: 233,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,177.59 : 430,808.10 = 168,940.61 : x
  2. Step 2: Convert to fraction form
    312,177.59/430,808.10 = 168,940.61/x
  3. Step 3: Cross multiply
    312,177.59x = 430,808.10 × 168,940.61
  4. Step 4: Simplify right side
    312,177.59x = 72,780,981,052.90
  5. Step 5: Solve for x
    x = 72,780,981,052.90/312,177.59
  6. Step 6: Final answer
    x = 233,139.68

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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.