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Finding the Fourth Proportional to 381,043.86, 571,449.06 and 263,470.74

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Solution

The fourth proportional to 381,043.86, 571,449.06 and 263,470.74 is: 395,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,043.86 : 571,449.06 = 263,470.74 : x
  2. Step 2: Convert to fraction form
    381,043.86/571,449.06 = 263,470.74/x
  3. Step 3: Cross multiply
    381,043.86x = 571,449.06 × 263,470.74
  4. Step 4: Simplify right side
    381,043.86x = 150,560,106,710.50
  5. Step 5: Solve for x
    x = 150,560,106,710.50/381,043.86
  6. Step 6: Final answer
    x = 395,125.40

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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.