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Finding the Fourth Proportional to 312,302.43, 430,976.86 and 169,062.44

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Solution

The fourth proportional to 312,302.43, 430,976.86 and 169,062.44 is: 233,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302.43 : 430,976.86 = 169,062.44 : x
  2. Step 2: Convert to fraction form
    312,302.43/430,976.86 = 169,062.44/x
  3. Step 3: Cross multiply
    312,302.43x = 430,976.86 × 169,062.44
  4. Step 4: Simplify right side
    312,302.43x = 72,861,996,957.60
  5. Step 5: Solve for x
    x = 72,861,996,957.60/312,302.43
  6. Step 6: Final answer
    x = 233,305.89

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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.