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Finding the Fourth Proportional to 312,591.78, 431,377.10 and 169,351.82

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Solution

The fourth proportional to 312,591.78, 431,377.10 and 169,351.82 is: 233,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,591.78 : 431,377.10 = 169,351.82 : x
  2. Step 2: Convert to fraction form
    312,591.78/431,377.10 = 169,351.82/x
  3. Step 3: Cross multiply
    312,591.78x = 431,377.10 × 169,351.82
  4. Step 4: Simplify right side
    312,591.78x = 73,054,495,257.82
  5. Step 5: Solve for x
    x = 73,054,495,257.82/312,591.78
  6. Step 6: Final answer
    x = 233,705.75

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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.