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Finding the Fourth Proportional to 381,527.24, 526,385.80 and 220,361

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Solution

The fourth proportional to 381,527.24, 526,385.80 and 220,361 is: 304,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,527.24 : 526,385.80 = 220,361 : x
  2. Step 2: Convert to fraction form
    381,527.24/526,385.80 = 220,361/x
  3. Step 3: Cross multiply
    381,527.24x = 526,385.80 × 220,361
  4. Step 4: Simplify right side
    381,527.24x = 115,994,901,273.80
  5. Step 5: Solve for x
    x = 115,994,901,273.80/381,527.24
  6. Step 6: Final answer
    x = 304,027.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.