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Finding the Fourth Proportional to 391,034.16, 539,625.24 and 212,186.16

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Solution

The fourth proportional to 391,034.16, 539,625.24 and 212,186.16 is: 292,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,034.16 : 539,625.24 = 212,186.16 : x
  2. Step 2: Convert to fraction form
    391,034.16/539,625.24 = 212,186.16/x
  3. Step 3: Cross multiply
    391,034.16x = 539,625.24 × 212,186.16
  4. Step 4: Simplify right side
    391,034.16x = 114,501,007,514.68
  5. Step 5: Solve for x
    x = 114,501,007,514.68/391,034.16
  6. Step 6: Final answer
    x = 292,815.87

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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.