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Finding the Fourth Proportional to 404,393.20, 606,978.60 and 204,938.80

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Solution

The fourth proportional to 404,393.20, 606,978.60 and 204,938.80 is: 307,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,393.20 : 606,978.60 = 204,938.80 : x
  2. Step 2: Convert to fraction form
    404,393.20/606,978.60 = 204,938.80/x
  3. Step 3: Cross multiply
    404,393.20x = 606,978.60 × 204,938.80
  4. Step 4: Simplify right side
    404,393.20x = 124,393,465,909.68
  5. Step 5: Solve for x
    x = 124,393,465,909.68/404,393.20
  6. Step 6: Final answer
    x = 307,605.24

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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.