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Finding the Fourth Proportional to 391,257, 539,940.26 and 227,909.31

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Solution

The fourth proportional to 391,257, 539,940.26 and 227,909.31 is: 314,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,257 : 539,940.26 = 227,909.31 : x
  2. Step 2: Convert to fraction form
    391,257/539,940.26 = 227,909.31/x
  3. Step 3: Cross multiply
    391,257x = 539,940.26 × 227,909.31
  4. Step 4: Simplify right side
    391,257x = 123,057,412,097.82
  5. Step 5: Solve for x
    x = 123,057,412,097.82/391,257
  6. Step 6: Final answer
    x = 314,518.11

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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.