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Finding the Fourth Proportional to 398,756.27, 550,261.72 and 226,650.31

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Solution

The fourth proportional to 398,756.27, 550,261.72 and 226,650.31 is: 312,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,756.27 : 550,261.72 = 226,650.31 : x
  2. Step 2: Convert to fraction form
    398,756.27/550,261.72 = 226,650.31/x
  3. Step 3: Cross multiply
    398,756.27x = 550,261.72 × 226,650.31
  4. Step 4: Simplify right side
    398,756.27x = 124,716,989,419.13
  5. Step 5: Solve for x
    x = 124,716,989,419.13/398,756.27
  6. Step 6: Final answer
    x = 312,764.96

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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.