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Finding the Fourth Proportional to 521,052.98, 781,952.75 and 221,743.81

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Solution

The fourth proportional to 521,052.98, 781,952.75 and 221,743.81 is: 332,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052.98 : 781,952.75 = 221,743.81 : x
  2. Step 2: Convert to fraction form
    521,052.98/781,952.75 = 221,743.81/x
  3. Step 3: Cross multiply
    521,052.98x = 781,952.75 × 221,743.81
  4. Step 4: Simplify right side
    521,052.98x = 173,393,177,006.50
  5. Step 5: Solve for x
    x = 173,393,177,006.50/521,052.98
  6. Step 6: Final answer
    x = 332,774.56

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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.