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Finding the Fourth Proportional to 399,251.81, 550,934.41 and 227,123.97

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Solution

The fourth proportional to 399,251.81, 550,934.41 and 227,123.97 is: 313,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,251.81 : 550,934.41 = 227,123.97 : x
  2. Step 2: Convert to fraction form
    399,251.81/550,934.41 = 227,123.97/x
  3. Step 3: Cross multiply
    399,251.81x = 550,934.41 × 227,123.97
  4. Step 4: Simplify right side
    399,251.81x = 125,130,409,273.19
  5. Step 5: Solve for x
    x = 125,130,409,273.19/399,251.81
  6. Step 6: Final answer
    x = 313,412.25

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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.