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Finding the Fourth Proportional to 421,460.20, 632,190.30 and 279,742.60

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Solution

The fourth proportional to 421,460.20, 632,190.30 and 279,742.60 is: 419,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,460.20 : 632,190.30 = 279,742.60 : x
  2. Step 2: Convert to fraction form
    421,460.20/632,190.30 = 279,742.60/x
  3. Step 3: Cross multiply
    421,460.20x = 632,190.30 × 279,742.60
  4. Step 4: Simplify right side
    421,460.20x = 176,850,558,216.78
  5. Step 5: Solve for x
    x = 176,850,558,216.78/421,460.20
  6. Step 6: Final answer
    x = 419,613.90

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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.