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Finding the Fourth Proportional to 421,233.54, 631,882.95 and 140,751.78

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Solution

The fourth proportional to 421,233.54, 631,882.95 and 140,751.78 is: 211,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,233.54 : 631,882.95 = 140,751.78 : x
  2. Step 2: Convert to fraction form
    421,233.54/631,882.95 = 140,751.78/x
  3. Step 3: Cross multiply
    421,233.54x = 631,882.95 × 140,751.78
  4. Step 4: Simplify right side
    421,233.54x = 88,938,649,964.15
  5. Step 5: Solve for x
    x = 88,938,649,964.15/421,233.54
  6. Step 6: Final answer
    x = 211,138.58

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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.