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Finding the Fourth Proportional to 278,015.80, 416,959.56 and 165,727.60

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Solution

The fourth proportional to 278,015.80, 416,959.56 and 165,727.60 is: 248,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,015.80 : 416,959.56 = 165,727.60 : x
  2. Step 2: Convert to fraction form
    278,015.80/416,959.56 = 165,727.60/x
  3. Step 3: Cross multiply
    278,015.80x = 416,959.56 × 165,727.60
  4. Step 4: Simplify right side
    278,015.80x = 69,101,707,175.86
  5. Step 5: Solve for x
    x = 69,101,707,175.86/278,015.80
  6. Step 6: Final answer
    x = 248,553.17

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1.5x scale

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.