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Finding the Fourth Proportional to 521,056.98, 781,958.75 and 221,747.81

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Solution

The fourth proportional to 521,056.98, 781,958.75 and 221,747.81 is: 332,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,056.98 : 781,958.75 = 221,747.81 : x
  2. Step 2: Convert to fraction form
    521,056.98/781,958.75 = 221,747.81/x
  3. Step 3: Cross multiply
    521,056.98x = 781,958.75 × 221,747.81
  4. Step 4: Simplify right side
    521,056.98x = 173,397,635,304.31
  5. Step 5: Solve for x
    x = 173,397,635,304.31/521,056.98
  6. Step 6: Final answer
    x = 332,780.56

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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.