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Finding the Fourth Proportional to 312,990.32, 431,920.68 and 169,747.76

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Solution

The fourth proportional to 312,990.32, 431,920.68 and 169,747.76 is: 234,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,990.32 : 431,920.68 = 169,747.76 : x
  2. Step 2: Convert to fraction form
    312,990.32/431,920.68 = 169,747.76/x
  3. Step 3: Cross multiply
    312,990.32x = 431,920.68 × 169,747.76
  4. Step 4: Simplify right side
    312,990.32x = 73,317,567,927.68
  5. Step 5: Solve for x
    x = 73,317,567,927.68/312,990.32
  6. Step 6: Final answer
    x = 234,248.68

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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.