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Finding the Fourth Proportional to 421,748.85, 632,558.28 and 137,438.70

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Solution

The fourth proportional to 421,748.85, 632,558.28 and 137,438.70 is: 206,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,748.85 : 632,558.28 = 137,438.70 : x
  2. Step 2: Convert to fraction form
    421,748.85/632,558.28 = 137,438.70/x
  3. Step 3: Cross multiply
    421,748.85x = 632,558.28 × 137,438.70
  4. Step 4: Simplify right side
    421,748.85x = 86,937,987,677.44
  5. Step 5: Solve for x
    x = 86,937,987,677.44/421,748.85
  6. Step 6: Final answer
    x = 206,136.87

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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.