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Finding the Fourth Proportional to 392,486.77, 541,490.02 and 222,622.48

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Solution

The fourth proportional to 392,486.77, 541,490.02 and 222,622.48 is: 307,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,486.77 : 541,490.02 = 222,622.48 : x
  2. Step 2: Convert to fraction form
    392,486.77/541,490.02 = 222,622.48/x
  3. Step 3: Cross multiply
    392,486.77x = 541,490.02 × 222,622.48
  4. Step 4: Simplify right side
    392,486.77x = 120,547,851,147.65
  5. Step 5: Solve for x
    x = 120,547,851,147.65/392,486.77
  6. Step 6: Final answer
    x = 307,138.64

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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.