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Finding the Fourth Proportional to 378,441.10, 567,661.65 and 259,752.61

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Solution

The fourth proportional to 378,441.10, 567,661.65 and 259,752.61 is: 389,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,441.10 : 567,661.65 = 259,752.61 : x
  2. Step 2: Convert to fraction form
    378,441.10/567,661.65 = 259,752.61/x
  3. Step 3: Cross multiply
    378,441.10x = 567,661.65 × 259,752.61
  4. Step 4: Simplify right side
    378,441.10x = 147,451,595,184.41
  5. Step 5: Solve for x
    x = 147,451,595,184.41/378,441.10
  6. Step 6: Final answer
    x = 389,628.92

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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.