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Finding the Fourth Proportional to 392,661.39, 589,021.91 and 152,672.18

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Solution

The fourth proportional to 392,661.39, 589,021.91 and 152,672.18 is: 229,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,661.39 : 589,021.91 = 152,672.18 : x
  2. Step 2: Convert to fraction form
    392,661.39/589,021.91 = 152,672.18/x
  3. Step 3: Cross multiply
    392,661.39x = 589,021.91 × 152,672.18
  4. Step 4: Simplify right side
    392,661.39x = 89,927,257,976.59
  5. Step 5: Solve for x
    x = 89,927,257,976.59/392,661.39
  6. Step 6: Final answer
    x = 229,019.87

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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.