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Finding the Fourth Proportional to 312,618.30, 431,412.39 and 169,378.44

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Solution

The fourth proportional to 312,618.30, 431,412.39 and 169,378.44 is: 233,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,618.30 : 431,412.39 = 169,378.44 : x
  2. Step 2: Convert to fraction form
    312,618.30/431,412.39 = 169,378.44/x
  3. Step 3: Cross multiply
    312,618.30x = 431,412.39 × 169,378.44
  4. Step 4: Simplify right side
    312,618.30x = 73,071,957,614.87
  5. Step 5: Solve for x
    x = 73,071,957,614.87/312,618.30
  6. Step 6: Final answer
    x = 233,741.78

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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.