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Finding the Fourth Proportional to 392,452.40, 541,588 and 222,673.16

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Solution

The fourth proportional to 392,452.40, 541,588 and 222,673.16 is: 307,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,452.40 : 541,588 = 222,673.16 : x
  2. Step 2: Convert to fraction form
    392,452.40/541,588 = 222,673.16/x
  3. Step 3: Cross multiply
    392,452.40x = 541,588 × 222,673.16
  4. Step 4: Simplify right side
    392,452.40x = 120,597,111,378.08
  5. Step 5: Solve for x
    x = 120,597,111,378.08/392,452.40
  6. Step 6: Final answer
    x = 307,291.05

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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.