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Finding the Fourth Proportional to 392,902.11, 589,765.44 and 348,209.40

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Solution

The fourth proportional to 392,902.11, 589,765.44 and 348,209.40 is: 522,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,902.11 : 589,765.44 = 348,209.40 : x
  2. Step 2: Convert to fraction form
    392,902.11/589,765.44 = 348,209.40/x
  3. Step 3: Cross multiply
    392,902.11x = 589,765.44 × 348,209.40
  4. Step 4: Simplify right side
    392,902.11x = 205,361,870,003.14
  5. Step 5: Solve for x
    x = 205,361,870,003.14/392,902.11
  6. Step 6: Final answer
    x = 522,679.48

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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.