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Finding the Fourth Proportional to 421,778.80, 582,067.80 and 230,800.24

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Solution

The fourth proportional to 421,778.80, 582,067.80 and 230,800.24 is: 318,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,778.80 : 582,067.80 = 230,800.24 : x
  2. Step 2: Convert to fraction form
    421,778.80/582,067.80 = 230,800.24/x
  3. Step 3: Cross multiply
    421,778.80x = 582,067.80 × 230,800.24
  4. Step 4: Simplify right side
    421,778.80x = 134,341,387,936.27
  5. Step 5: Solve for x
    x = 134,341,387,936.27/421,778.80
  6. Step 6: Final answer
    x = 318,511.48

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1.5x scale

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.