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Finding the Fourth Proportional to 312,494.24, 431,242.44 and 169,255.46

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Solution

The fourth proportional to 312,494.24, 431,242.44 and 169,255.46 is: 233,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,494.24 : 431,242.44 = 169,255.46 : x
  2. Step 2: Convert to fraction form
    312,494.24/431,242.44 = 169,255.46/x
  3. Step 3: Cross multiply
    312,494.24x = 431,242.44 × 169,255.46
  4. Step 4: Simplify right side
    312,494.24x = 72,990,137,553.72
  5. Step 5: Solve for x
    x = 72,990,137,553.72/312,494.24
  6. Step 6: Final answer
    x = 233,572.75

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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.