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Finding the Fourth Proportional to 312,447.86, 431,175.90 and 169,204.63

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Solution

The fourth proportional to 312,447.86, 431,175.90 and 169,204.63 is: 233,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.86 : 431,175.90 = 169,204.63 : x
  2. Step 2: Convert to fraction form
    312,447.86/431,175.90 = 169,204.63/x
  3. Step 3: Cross multiply
    312,447.86x = 431,175.90 × 169,204.63
  4. Step 4: Simplify right side
    312,447.86x = 72,956,957,546.48
  5. Step 5: Solve for x
    x = 72,956,957,546.48/312,447.86
  6. Step 6: Final answer
    x = 233,501.22

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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.