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Finding the Fourth Proportional to 278,049.69, 416,785.56 and 118,228.17

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Solution

The fourth proportional to 278,049.69, 416,785.56 and 118,228.17 is: 177,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,049.69 : 416,785.56 = 118,228.17 : x
  2. Step 2: Convert to fraction form
    278,049.69/416,785.56 = 118,228.17/x
  3. Step 3: Cross multiply
    278,049.69x = 416,785.56 × 118,228.17
  4. Step 4: Simplify right side
    278,049.69x = 49,275,794,041.23
  5. Step 5: Solve for x
    x = 49,275,794,041.23/278,049.69
  6. Step 6: Final answer
    x = 177,219.38

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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.