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Finding the Fourth Proportional to 404,020.80, 606,031.20 and 138,081.60

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Solution

The fourth proportional to 404,020.80, 606,031.20 and 138,081.60 is: 207,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,020.80 : 606,031.20 = 138,081.60 : x
  2. Step 2: Convert to fraction form
    404,020.80/606,031.20 = 138,081.60/x
  3. Step 3: Cross multiply
    404,020.80x = 606,031.20 × 138,081.60
  4. Step 4: Simplify right side
    404,020.80x = 83,681,757,745.92
  5. Step 5: Solve for x
    x = 83,681,757,745.92/404,020.80
  6. Step 6: Final answer
    x = 207,122.40

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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.