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Finding the Fourth Proportional to 278,317.50, 416,923.29 and 137,646.78

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Solution

The fourth proportional to 278,317.50, 416,923.29 and 137,646.78 is: 206,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,317.50 : 416,923.29 = 137,646.78 : x
  2. Step 2: Convert to fraction form
    278,317.50/416,923.29 = 137,646.78/x
  3. Step 3: Cross multiply
    278,317.50x = 416,923.29 × 137,646.78
  4. Step 4: Simplify right side
    278,317.50x = 57,388,148,375.51
  5. Step 5: Solve for x
    x = 57,388,148,375.51/278,317.50
  6. Step 6: Final answer
    x = 206,196.69

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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.