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Finding the Fourth Proportional to 421,716.92, 582,209.94 and 278,891.24

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Solution

The fourth proportional to 421,716.92, 582,209.94 and 278,891.24 is: 385,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,716.92 : 582,209.94 = 278,891.24 : x
  2. Step 2: Convert to fraction form
    421,716.92/582,209.94 = 278,891.24/x
  3. Step 3: Cross multiply
    421,716.92x = 582,209.94 × 278,891.24
  4. Step 4: Simplify right side
    421,716.92x = 162,373,252,106.93
  5. Step 5: Solve for x
    x = 162,373,252,106.93/421,716.92
  6. Step 6: Final answer
    x = 385,029.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.