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Finding the Fourth Proportional to 354,382.32, 531,767.88 and 143,963.76

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Solution

The fourth proportional to 354,382.32, 531,767.88 and 143,963.76 is: 216,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,382.32 : 531,767.88 = 143,963.76 : x
  2. Step 2: Convert to fraction form
    354,382.32/531,767.88 = 143,963.76/x
  3. Step 3: Cross multiply
    354,382.32x = 531,767.88 × 143,963.76
  4. Step 4: Simplify right side
    354,382.32x = 76,555,303,452.03
  5. Step 5: Solve for x
    x = 76,555,303,452.03/354,382.32
  6. Step 6: Final answer
    x = 216,024.61

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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.