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Finding the Fourth Proportional to 322,942.71, 484,099.79 and 154,419.51

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Solution

The fourth proportional to 322,942.71, 484,099.79 and 154,419.51 is: 231,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,942.71 : 484,099.79 = 154,419.51 : x
  2. Step 2: Convert to fraction form
    322,942.71/484,099.79 = 154,419.51/x
  3. Step 3: Cross multiply
    322,942.71x = 484,099.79 × 154,419.51
  4. Step 4: Simplify right side
    322,942.71x = 74,754,451,590.81
  5. Step 5: Solve for x
    x = 74,754,451,590.81/322,942.71
  6. Step 6: Final answer
    x = 231,478.99

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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.