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Finding the Fourth Proportional to 421,930.70, 632,902.56 and 137,620.04

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Solution

The fourth proportional to 421,930.70, 632,902.56 and 137,620.04 is: 206,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,930.70 : 632,902.56 = 137,620.04 : x
  2. Step 2: Convert to fraction form
    421,930.70/632,902.56 = 137,620.04/x
  3. Step 3: Cross multiply
    421,930.70x = 632,902.56 × 137,620.04
  4. Step 4: Simplify right side
    421,930.70x = 87,100,075,623.30
  5. Step 5: Solve for x
    x = 87,100,075,623.30/421,930.70
  6. Step 6: Final answer
    x = 206,432.18

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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.