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Finding the Fourth Proportional to 421,180.74, 631,677.96 and 121,596.12

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Solution

The fourth proportional to 421,180.74, 631,677.96 and 121,596.12 is: 182,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,180.74 : 631,677.96 = 121,596.12 : x
  2. Step 2: Convert to fraction form
    421,180.74/631,677.96 = 121,596.12/x
  3. Step 3: Cross multiply
    421,180.74x = 631,677.96 × 121,596.12
  4. Step 4: Simplify right side
    421,180.74x = 76,809,589,025.52
  5. Step 5: Solve for x
    x = 76,809,589,025.52/421,180.74
  6. Step 6: Final answer
    x = 182,367.29

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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.