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Finding the Fourth Proportional to 221,385.40, 332,323.94 and 114,740.80

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Solution

The fourth proportional to 221,385.40, 332,323.94 and 114,740.80 is: 172,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,385.40 : 332,323.94 = 114,740.80 : x
  2. Step 2: Convert to fraction form
    221,385.40/332,323.94 = 114,740.80/x
  3. Step 3: Cross multiply
    221,385.40x = 332,323.94 × 114,740.80
  4. Step 4: Simplify right side
    221,385.40x = 38,131,114,734.75
  5. Step 5: Solve for x
    x = 38,131,114,734.75/221,385.40
  6. Step 6: Final answer
    x = 172,238.62

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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.