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Finding the Fourth Proportional to 421,617.04, 632,333.96 and 133,451.08

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Solution

The fourth proportional to 421,617.04, 632,333.96 and 133,451.08 is: 200,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,617.04 : 632,333.96 = 133,451.08 : x
  2. Step 2: Convert to fraction form
    421,617.04/632,333.96 = 133,451.08/x
  3. Step 3: Cross multiply
    421,617.04x = 632,333.96 × 133,451.08
  4. Step 4: Simplify right side
    421,617.04x = 84,385,649,882.68
  5. Step 5: Solve for x
    x = 84,385,649,882.68/421,617.04
  6. Step 6: Final answer
    x = 200,147.63

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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.