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Finding the Fourth Proportional to 312,458.76, 431,193.24 and 169,219.44

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Solution

The fourth proportional to 312,458.76, 431,193.24 and 169,219.44 is: 233,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458.76 : 431,193.24 = 169,219.44 : x
  2. Step 2: Convert to fraction form
    312,458.76/431,193.24 = 169,219.44/x
  3. Step 3: Cross multiply
    312,458.76x = 431,193.24 × 169,219.44
  4. Step 4: Simplify right side
    312,458.76x = 72,966,278,604.59
  5. Step 5: Solve for x
    x = 72,966,278,604.59/312,458.76
  6. Step 6: Final answer
    x = 233,522.91

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Double scale
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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.