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Finding the Fourth Proportional to 392,713.81, 589,054.26 and 126,468.43

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Solution

The fourth proportional to 392,713.81, 589,054.26 and 126,468.43 is: 189,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,713.81 : 589,054.26 = 126,468.43 : x
  2. Step 2: Convert to fraction form
    392,713.81/589,054.26 = 126,468.43/x
  3. Step 3: Cross multiply
    392,713.81x = 589,054.26 × 126,468.43
  4. Step 4: Simplify right side
    392,713.81x = 74,496,767,447.01
  5. Step 5: Solve for x
    x = 74,496,767,447.01/392,713.81
  6. Step 6: Final answer
    x = 189,697.35

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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.