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Finding the Fourth Proportional to 398,731.66, 550,250.60 and 226,650.74

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Solution

The fourth proportional to 398,731.66, 550,250.60 and 226,650.74 is: 312,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,731.66 : 550,250.60 = 226,650.74 : x
  2. Step 2: Convert to fraction form
    398,731.66/550,250.60 = 226,650.74/x
  3. Step 3: Cross multiply
    398,731.66x = 550,250.60 × 226,650.74
  4. Step 4: Simplify right side
    398,731.66x = 124,714,701,790.94
  5. Step 5: Solve for x
    x = 124,714,701,790.94/398,731.66
  6. Step 6: Final answer
    x = 312,778.53

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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.