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Finding the Fourth Proportional to 312,835.77, 431,713.80 and 169,595.78

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Solution

The fourth proportional to 312,835.77, 431,713.80 and 169,595.78 is: 234,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835.77 : 431,713.80 = 169,595.78 : x
  2. Step 2: Convert to fraction form
    312,835.77/431,713.80 = 169,595.78/x
  3. Step 3: Cross multiply
    312,835.77x = 431,713.80 × 169,595.78
  4. Step 4: Simplify right side
    312,835.77x = 73,216,836,489.20
  5. Step 5: Solve for x
    x = 73,216,836,489.20/312,835.77
  6. Step 6: Final answer
    x = 234,042.41

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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.