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Finding the Fourth Proportional to 421,409.78, 632,096.14 and 121,883.73

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Solution

The fourth proportional to 421,409.78, 632,096.14 and 121,883.73 is: 182,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,409.78 : 632,096.14 = 121,883.73 : x
  2. Step 2: Convert to fraction form
    421,409.78/632,096.14 = 121,883.73/x
  3. Step 3: Cross multiply
    421,409.78x = 632,096.14 × 121,883.73
  4. Step 4: Simplify right side
    421,409.78x = 77,042,235,261.80
  5. Step 5: Solve for x
    x = 77,042,235,261.80/421,409.78
  6. Step 6: Final answer
    x = 182,820.24

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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.