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Finding the Fourth Proportional to 422,607.90, 633,319.56 and 197,434.38

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Solution

The fourth proportional to 422,607.90, 633,319.56 and 197,434.38 is: 295,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,607.90 : 633,319.56 = 197,434.38 : x
  2. Step 2: Convert to fraction form
    422,607.90/633,319.56 = 197,434.38/x
  3. Step 3: Cross multiply
    422,607.90x = 633,319.56 × 197,434.38
  4. Step 4: Simplify right side
    422,607.90x = 125,039,054,670.47
  5. Step 5: Solve for x
    x = 125,039,054,670.47/422,607.90
  6. Step 6: Final answer
    x = 295,874.86

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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.