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Finding the Fourth Proportional to 398,996, 550,626 and 220,159.52

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Solution

The fourth proportional to 398,996, 550,626 and 220,159.52 is: 303,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,996 : 550,626 = 220,159.52 : x
  2. Step 2: Convert to fraction form
    398,996/550,626 = 220,159.52/x
  3. Step 3: Cross multiply
    398,996x = 550,626 × 220,159.52
  4. Step 4: Simplify right side
    398,996x = 121,225,555,859.52
  5. Step 5: Solve for x
    x = 121,225,555,859.52/398,996
  6. Step 6: Final answer
    x = 303,826.49

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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.