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Finding the Fourth Proportional to 392,879, 589,333.10 and 126,643.36

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Solution

The fourth proportional to 392,879, 589,333.10 and 126,643.36 is: 189,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,879 : 589,333.10 = 126,643.36 : x
  2. Step 2: Convert to fraction form
    392,879/589,333.10 = 126,643.36/x
  3. Step 3: Cross multiply
    392,879x = 589,333.10 × 126,643.36
  4. Step 4: Simplify right side
    392,879x = 74,635,123,943.22
  5. Step 5: Solve for x
    x = 74,635,123,943.22/392,879
  6. Step 6: Final answer
    x = 189,969.75

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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.