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Finding the Fourth Proportional to 312,476.82, 431,217.86 and 169,236.86

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Solution

The fourth proportional to 312,476.82, 431,217.86 and 169,236.86 is: 233,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,476.82 : 431,217.86 = 169,236.86 : x
  2. Step 2: Convert to fraction form
    312,476.82/431,217.86 = 169,236.86/x
  3. Step 3: Cross multiply
    312,476.82x = 431,217.86 × 169,236.86
  4. Step 4: Simplify right side
    312,476.82x = 72,977,956,602.32
  5. Step 5: Solve for x
    x = 72,977,956,602.32/312,476.82
  6. Step 6: Final answer
    x = 233,546.78

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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.