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Finding the Fourth Proportional to 422,061.90, 582,441.80 and 228,468.66

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Solution

The fourth proportional to 422,061.90, 582,441.80 and 228,468.66 is: 315,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,061.90 : 582,441.80 = 228,468.66 : x
  2. Step 2: Convert to fraction form
    422,061.90/582,441.80 = 228,468.66/x
  3. Step 3: Cross multiply
    422,061.90x = 582,441.80 × 228,468.66
  4. Step 4: Simplify right side
    422,061.90x = 133,069,697,573.99
  5. Step 5: Solve for x
    x = 133,069,697,573.99/422,061.90
  6. Step 6: Final answer
    x = 315,284.79

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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.