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Finding the Fourth Proportional to 543,829.60, 814,131.60 and 404,207.20

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Solution

The fourth proportional to 543,829.60, 814,131.60 and 404,207.20 is: 605,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,829.60 : 814,131.60 = 404,207.20 : x
  2. Step 2: Convert to fraction form
    543,829.60/814,131.60 = 404,207.20/x
  3. Step 3: Cross multiply
    543,829.60x = 814,131.60 × 404,207.20
  4. Step 4: Simplify right side
    543,829.60x = 329,077,854,467.52
  5. Step 5: Solve for x
    x = 329,077,854,467.52/543,829.60
  6. Step 6: Final answer
    x = 605,112.07

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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.