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Finding the Fourth Proportional to 392,202, 588,390.48 and 142,884

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Solution

The fourth proportional to 392,202, 588,390.48 and 142,884 is: 214,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202 : 588,390.48 = 142,884 : x
  2. Step 2: Convert to fraction form
    392,202/588,390.48 = 142,884/x
  3. Step 3: Cross multiply
    392,202x = 588,390.48 × 142,884
  4. Step 4: Simplify right side
    392,202x = 84,071,585,344.32
  5. Step 5: Solve for x
    x = 84,071,585,344.32/392,202
  6. Step 6: Final answer
    x = 214,357.87

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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.