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Finding the Fourth Proportional to 312,302.31, 430,976.69 and 169,062.31

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Solution

The fourth proportional to 312,302.31, 430,976.69 and 169,062.31 is: 233,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302.31 : 430,976.69 = 169,062.31 : x
  2. Step 2: Convert to fraction form
    312,302.31/430,976.69 = 169,062.31/x
  3. Step 3: Cross multiply
    312,302.31x = 430,976.69 × 169,062.31
  4. Step 4: Simplify right side
    312,302.31x = 72,861,913,922.24
  5. Step 5: Solve for x
    x = 72,861,913,922.24/312,302.31
  6. Step 6: Final answer
    x = 233,305.72

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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.