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Finding the Fourth Proportional to 392,836.68, 589,513.28 and 215,468

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Solution

The fourth proportional to 392,836.68, 589,513.28 and 215,468 is: 323,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,836.68 : 589,513.28 = 215,468 : x
  2. Step 2: Convert to fraction form
    392,836.68/589,513.28 = 215,468/x
  3. Step 3: Cross multiply
    392,836.68x = 589,513.28 × 215,468
  4. Step 4: Simplify right side
    392,836.68x = 127,021,247,415.04
  5. Step 5: Solve for x
    x = 127,021,247,415.04/392,836.68
  6. Step 6: Final answer
    x = 323,343.65

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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.