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Finding the Fourth Proportional to 421,806.60, 632,709.90 and 272,215.80

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Solution

The fourth proportional to 421,806.60, 632,709.90 and 272,215.80 is: 408,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,806.60 : 632,709.90 = 272,215.80 : x
  2. Step 2: Convert to fraction form
    421,806.60/632,709.90 = 272,215.80/x
  3. Step 3: Cross multiply
    421,806.60x = 632,709.90 × 272,215.80
  4. Step 4: Simplify right side
    421,806.60x = 172,233,631,596.42
  5. Step 5: Solve for x
    x = 172,233,631,596.42/421,806.60
  6. Step 6: Final answer
    x = 408,323.70

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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.