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Finding the Fourth Proportional to 392,728.45, 589,979.46 and 232,909.21

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Solution

The fourth proportional to 392,728.45, 589,979.46 and 232,909.21 is: 349,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,728.45 : 589,979.46 = 232,909.21 : x
  2. Step 2: Convert to fraction form
    392,728.45/589,979.46 = 232,909.21/x
  3. Step 3: Cross multiply
    392,728.45x = 589,979.46 × 232,909.21
  4. Step 4: Simplify right side
    392,728.45x = 137,411,649,944.83
  5. Step 5: Solve for x
    x = 137,411,649,944.83/392,728.45
  6. Step 6: Final answer
    x = 349,889.73

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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.