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Finding the Fourth Proportional to 307,910.40, 462,340.80 and 167,942.40

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Solution

The fourth proportional to 307,910.40, 462,340.80 and 167,942.40 is: 252,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,910.40 : 462,340.80 = 167,942.40 : x
  2. Step 2: Convert to fraction form
    307,910.40/462,340.80 = 167,942.40/x
  3. Step 3: Cross multiply
    307,910.40x = 462,340.80 × 167,942.40
  4. Step 4: Simplify right side
    307,910.40x = 77,646,623,569.92
  5. Step 5: Solve for x
    x = 77,646,623,569.92/307,910.40
  6. Step 6: Final answer
    x = 252,172.79

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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.