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Finding the Fourth Proportional to 388,482, 582,722.18 and 122,265.78

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Solution

The fourth proportional to 388,482, 582,722.18 and 122,265.78 is: 183,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,482 : 582,722.18 = 122,265.78 : x
  2. Step 2: Convert to fraction form
    388,482/582,722.18 = 122,265.78/x
  3. Step 3: Cross multiply
    388,482x = 582,722.18 × 122,265.78
  4. Step 4: Simplify right side
    388,482x = 71,246,981,861.00
  5. Step 5: Solve for x
    x = 71,246,981,861.00/388,482
  6. Step 6: Final answer
    x = 183,398.41

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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.