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Finding the Fourth Proportional to 392,800.52, 589,459.16 and 215,432.08

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Solution

The fourth proportional to 392,800.52, 589,459.16 and 215,432.08 is: 323,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,800.52 : 589,459.16 = 215,432.08 : x
  2. Step 2: Convert to fraction form
    392,800.52/589,459.16 = 215,432.08/x
  3. Step 3: Cross multiply
    392,800.52x = 589,459.16 × 215,432.08
  4. Step 4: Simplify right side
    392,800.52x = 126,988,412,913.85
  5. Step 5: Solve for x
    x = 126,988,412,913.85/392,800.52
  6. Step 6: Final answer
    x = 323,289.83

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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.