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Finding the Fourth Proportional to 422,139.87, 582,553.15 and 228,547.54

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Solution

The fourth proportional to 422,139.87, 582,553.15 and 228,547.54 is: 315,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,139.87 : 582,553.15 = 228,547.54 : x
  2. Step 2: Convert to fraction form
    422,139.87/582,553.15 = 228,547.54/x
  3. Step 3: Cross multiply
    422,139.87x = 582,553.15 × 228,547.54
  4. Step 4: Simplify right side
    422,139.87x = 133,141,089,351.75
  5. Step 5: Solve for x
    x = 133,141,089,351.75/422,139.87
  6. Step 6: Final answer
    x = 315,395.68

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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.