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Finding the Fourth Proportional to 250,422, 345,582.36 and 144,438

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Solution

The fourth proportional to 250,422, 345,582.36 and 144,438 is: 199,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,422 : 345,582.36 = 144,438 : x
  2. Step 2: Convert to fraction form
    250,422/345,582.36 = 144,438/x
  3. Step 3: Cross multiply
    250,422x = 345,582.36 × 144,438
  4. Step 4: Simplify right side
    250,422x = 49,915,224,913.68
  5. Step 5: Solve for x
    x = 49,915,224,913.68/250,422
  6. Step 6: Final answer
    x = 199,324.44

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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.