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Finding the Fourth Proportional to 354,712.80, 532,069.20 and 221,852.55

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Solution

The fourth proportional to 354,712.80, 532,069.20 and 221,852.55 is: 332,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712.80 : 532,069.20 = 221,852.55 : x
  2. Step 2: Convert to fraction form
    354,712.80/532,069.20 = 221,852.55/x
  3. Step 3: Cross multiply
    354,712.80x = 532,069.20 × 221,852.55
  4. Step 4: Simplify right side
    354,712.80x = 118,040,908,796.46
  5. Step 5: Solve for x
    x = 118,040,908,796.46/354,712.80
  6. Step 6: Final answer
    x = 332,778.83

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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.