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Finding the Fourth Proportional to 278,131.74, 416,950.15 and 100,599.26

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Solution

The fourth proportional to 278,131.74, 416,950.15 and 100,599.26 is: 150,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,131.74 : 416,950.15 = 100,599.26 : x
  2. Step 2: Convert to fraction form
    278,131.74/416,950.15 = 100,599.26/x
  3. Step 3: Cross multiply
    278,131.74x = 416,950.15 × 100,599.26
  4. Step 4: Simplify right side
    278,131.74x = 41,944,876,546.89
  5. Step 5: Solve for x
    x = 41,944,876,546.89/278,131.74
  6. Step 6: Final answer
    x = 150,809.38

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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.