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Finding the Fourth Proportional to 421,393.74, 631,958.85 and 140,845.38

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Solution

The fourth proportional to 421,393.74, 631,958.85 and 140,845.38 is: 211,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.74 : 631,958.85 = 140,845.38 : x
  2. Step 2: Convert to fraction form
    421,393.74/631,958.85 = 140,845.38/x
  3. Step 3: Cross multiply
    421,393.74x = 631,958.85 × 140,845.38
  4. Step 4: Simplify right side
    421,393.74x = 89,008,484,372.61
  5. Step 5: Solve for x
    x = 89,008,484,372.61/421,393.74
  6. Step 6: Final answer
    x = 211,224.03

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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.