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Finding the Fourth Proportional to 421,398.60, 631,491.60 and 181,446.62

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Solution

The fourth proportional to 421,398.60, 631,491.60 and 181,446.62 is: 271,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,398.60 : 631,491.60 = 181,446.62 : x
  2. Step 2: Convert to fraction form
    421,398.60/631,491.60 = 181,446.62/x
  3. Step 3: Cross multiply
    421,398.60x = 631,491.60 × 181,446.62
  4. Step 4: Simplify right side
    421,398.60x = 114,582,016,378.39
  5. Step 5: Solve for x
    x = 114,582,016,378.39/421,398.60
  6. Step 6: Final answer
    x = 271,908.87

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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.