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Finding the Fourth Proportional to 341,324.97, 512,651.87 and 278,191.76

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Solution

The fourth proportional to 341,324.97, 512,651.87 and 278,191.76 is: 417,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,324.97 : 512,651.87 = 278,191.76 : x
  2. Step 2: Convert to fraction form
    341,324.97/512,651.87 = 278,191.76/x
  3. Step 3: Cross multiply
    341,324.97x = 512,651.87 × 278,191.76
  4. Step 4: Simplify right side
    341,324.97x = 142,615,522,028.37
  5. Step 5: Solve for x
    x = 142,615,522,028.37/341,324.97
  6. Step 6: Final answer
    x = 417,829.15

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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.