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Finding the Fourth Proportional to 221,411.70, 332,117.55 and 177,124.95

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Solution

The fourth proportional to 221,411.70, 332,117.55 and 177,124.95 is: 265,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,411.70 : 332,117.55 = 177,124.95 : x
  2. Step 2: Convert to fraction form
    221,411.70/332,117.55 = 177,124.95/x
  3. Step 3: Cross multiply
    221,411.70x = 332,117.55 × 177,124.95
  4. Step 4: Simplify right side
    221,411.70x = 58,826,304,437.87
  5. Step 5: Solve for x
    x = 58,826,304,437.87/221,411.70
  6. Step 6: Final answer
    x = 265,687.43

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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.