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Finding the Fourth Proportional to 421,307.92, 632,121.50 and 252,945.82

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Solution

The fourth proportional to 421,307.92, 632,121.50 and 252,945.82 is: 379,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,307.92 : 632,121.50 = 252,945.82 : x
  2. Step 2: Convert to fraction form
    421,307.92/632,121.50 = 252,945.82/x
  3. Step 3: Cross multiply
    421,307.92x = 632,121.50 × 252,945.82
  4. Step 4: Simplify right side
    421,307.92x = 159,892,491,157.13
  5. Step 5: Solve for x
    x = 159,892,491,157.13/421,307.92
  6. Step 6: Final answer
    x = 379,514.56

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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.