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Finding the Fourth Proportional to 398,743.20, 598,114.80 and 188,791.20

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Solution

The fourth proportional to 398,743.20, 598,114.80 and 188,791.20 is: 283,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,743.20 : 598,114.80 = 188,791.20 : x
  2. Step 2: Convert to fraction form
    398,743.20/598,114.80 = 188,791.20/x
  3. Step 3: Cross multiply
    398,743.20x = 598,114.80 × 188,791.20
  4. Step 4: Simplify right side
    398,743.20x = 112,918,810,829.76
  5. Step 5: Solve for x
    x = 112,918,810,829.76/398,743.20
  6. Step 6: Final answer
    x = 283,186.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.