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Finding the Fourth Proportional to 303,688.14, 419,078.33 and 167,719.17

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Solution

The fourth proportional to 303,688.14, 419,078.33 and 167,719.17 is: 231,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,688.14 : 419,078.33 = 167,719.17 : x
  2. Step 2: Convert to fraction form
    303,688.14/419,078.33 = 167,719.17/x
  3. Step 3: Cross multiply
    303,688.14x = 419,078.33 × 167,719.17
  4. Step 4: Simplify right side
    303,688.14x = 70,287,468,833.99
  5. Step 5: Solve for x
    x = 70,287,468,833.99/303,688.14
  6. Step 6: Final answer
    x = 231,446.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.