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Finding the Fourth Proportional to 421,793.70, 632,672.10 and 122,267.76

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Solution

The fourth proportional to 421,793.70, 632,672.10 and 122,267.76 is: 183,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,793.70 : 632,672.10 = 122,267.76 : x
  2. Step 2: Convert to fraction form
    421,793.70/632,672.10 = 122,267.76/x
  3. Step 3: Cross multiply
    421,793.70x = 632,672.10 × 122,267.76
  4. Step 4: Simplify right side
    421,793.70x = 77,355,400,481.50
  5. Step 5: Solve for x
    x = 77,355,400,481.50/421,793.70
  6. Step 6: Final answer
    x = 183,396.29

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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.