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Finding the Fourth Proportional to 404,048.80, 606,015.60 and 137,821.60

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Solution

The fourth proportional to 404,048.80, 606,015.60 and 137,821.60 is: 206,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,048.80 : 606,015.60 = 137,821.60 : x
  2. Step 2: Convert to fraction form
    404,048.80/606,015.60 = 137,821.60/x
  3. Step 3: Cross multiply
    404,048.80x = 606,015.60 × 137,821.60
  4. Step 4: Simplify right side
    404,048.80x = 83,522,039,616.96
  5. Step 5: Solve for x
    x = 83,522,039,616.96/404,048.80
  6. Step 6: Final answer
    x = 206,712.75

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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.