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Finding the Fourth Proportional to 422,496, 633,800.16 and 197,825.76

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Solution

The fourth proportional to 422,496, 633,800.16 and 197,825.76 is: 296,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,496 : 633,800.16 = 197,825.76 : x
  2. Step 2: Convert to fraction form
    422,496/633,800.16 = 197,825.76/x
  3. Step 3: Cross multiply
    422,496x = 633,800.16 × 197,825.76
  4. Step 4: Simplify right side
    422,496x = 125,381,998,340.12
  5. Step 5: Solve for x
    x = 125,381,998,340.12/422,496
  6. Step 6: Final answer
    x = 296,764.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.