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Finding the Fourth Proportional to 978,103.92, 1,467,367.02 and 304,172.04

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Solution

The fourth proportional to 978,103.92, 1,467,367.02 and 304,172.04 is: 456,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,103.92 : 1,467,367.02 = 304,172.04 : x
  2. Step 2: Convert to fraction form
    978,103.92/1,467,367.02 = 304,172.04/x
  3. Step 3: Cross multiply
    978,103.92x = 1,467,367.02 × 304,172.04
  4. Step 4: Simplify right side
    978,103.92x = 446,332,019,902.12
  5. Step 5: Solve for x
    x = 446,332,019,902.12/978,103.92
  6. Step 6: Final answer
    x = 456,323.72

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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.