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Finding the Fourth Proportional to 521,052.48, 781,952.00 and 221,743.31

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Solution

The fourth proportional to 521,052.48, 781,952.00 and 221,743.31 is: 332,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052.48 : 781,952.00 = 221,743.31 : x
  2. Step 2: Convert to fraction form
    521,052.48/781,952.00 = 221,743.31/x
  3. Step 3: Cross multiply
    521,052.48x = 781,952.00 × 221,743.31
  4. Step 4: Simplify right side
    521,052.48x = 173,392,619,722.64
  5. Step 5: Solve for x
    x = 173,392,619,722.64/521,052.48
  6. Step 6: Final answer
    x = 332,773.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.