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Finding the Fourth Proportional to 312,871.52, 431,758.68 and 169,631.12

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Solution

The fourth proportional to 312,871.52, 431,758.68 and 169,631.12 is: 234,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,871.52 : 431,758.68 = 169,631.12 : x
  2. Step 2: Convert to fraction form
    312,871.52/431,758.68 = 169,631.12/x
  3. Step 3: Cross multiply
    312,871.52x = 431,758.68 × 169,631.12
  4. Step 4: Simplify right side
    312,871.52x = 73,239,708,458.12
  5. Step 5: Solve for x
    x = 73,239,708,458.12/312,871.52
  6. Step 6: Final answer
    x = 234,088.77

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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.