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Finding the Fourth Proportional to 422,154.72, 582,574.41 and 228,564.45

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Solution

The fourth proportional to 422,154.72, 582,574.41 and 228,564.45 is: 315,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,154.72 : 582,574.41 = 228,564.45 : x
  2. Step 2: Convert to fraction form
    422,154.72/582,574.41 = 228,564.45/x
  3. Step 3: Cross multiply
    422,154.72x = 582,574.41 × 228,564.45
  4. Step 4: Simplify right side
    422,154.72x = 133,155,799,605.73
  5. Step 5: Solve for x
    x = 133,155,799,605.73/422,154.72
  6. Step 6: Final answer
    x = 315,419.43

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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.