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Finding the Fourth Proportional to 398,984, 550,609.44 and 220,147.52

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Solution

The fourth proportional to 398,984, 550,609.44 and 220,147.52 is: 303,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,984 : 550,609.44 = 220,147.52 : x
  2. Step 2: Convert to fraction form
    398,984/550,609.44 = 220,147.52/x
  3. Step 3: Cross multiply
    398,984x = 550,609.44 × 220,147.52
  4. Step 4: Simplify right side
    398,984x = 121,215,302,704.59
  5. Step 5: Solve for x
    x = 121,215,302,704.59/398,984
  6. Step 6: Final answer
    x = 303,809.93

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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.