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Finding the Fourth Proportional to 312,951.32, 431,873.04 and 169,711.32

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Solution

The fourth proportional to 312,951.32, 431,873.04 and 169,711.32 is: 234,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,951.32 : 431,873.04 = 169,711.32 : x
  2. Step 2: Convert to fraction form
    312,951.32/431,873.04 = 169,711.32/x
  3. Step 3: Cross multiply
    312,951.32x = 431,873.04 × 169,711.32
  4. Step 4: Simplify right side
    312,951.32x = 73,293,743,690.81
  5. Step 5: Solve for x
    x = 73,293,743,690.81/312,951.32
  6. Step 6: Final answer
    x = 234,201.74

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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.