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Finding the Fourth Proportional to 398,817.78, 550,057.32 and 255,591.06

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Solution

The fourth proportional to 398,817.78, 550,057.32 and 255,591.06 is: 352,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,817.78 : 550,057.32 = 255,591.06 : x
  2. Step 2: Convert to fraction form
    398,817.78/550,057.32 = 255,591.06/x
  3. Step 3: Cross multiply
    398,817.78x = 550,057.32 × 255,591.06
  4. Step 4: Simplify right side
    398,817.78x = 140,589,733,479.56
  5. Step 5: Solve for x
    x = 140,589,733,479.56/398,817.78
  6. Step 6: Final answer
    x = 352,516.21

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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.