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Finding the Fourth Proportional to 451,959.90, 677,979.26 and 148,263

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Solution

The fourth proportional to 451,959.90, 677,979.26 and 148,263 is: 222,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,959.90 : 677,979.26 = 148,263 : x
  2. Step 2: Convert to fraction form
    451,959.90/677,979.26 = 148,263/x
  3. Step 3: Cross multiply
    451,959.90x = 677,979.26 × 148,263
  4. Step 4: Simplify right side
    451,959.90x = 100,519,239,025.38
  5. Step 5: Solve for x
    x = 100,519,239,025.38/451,959.90
  6. Step 6: Final answer
    x = 222,407.43

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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.