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Finding the Fourth Proportional to 392,649.93, 589,067.20 and 126,400.50

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Solution

The fourth proportional to 392,649.93, 589,067.20 and 126,400.50 is: 189,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,649.93 : 589,067.20 = 126,400.50 : x
  2. Step 2: Convert to fraction form
    392,649.93/589,067.20 = 126,400.50/x
  3. Step 3: Cross multiply
    392,649.93x = 589,067.20 × 126,400.50
  4. Step 4: Simplify right side
    392,649.93x = 74,458,388,613.60
  5. Step 5: Solve for x
    x = 74,458,388,613.60/392,649.93
  6. Step 6: Final answer
    x = 189,630.46

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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.