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Finding the Fourth Proportional to 379,164.40, 568,309.12 and 142,356.04

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Solution

The fourth proportional to 379,164.40, 568,309.12 and 142,356.04 is: 213,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,164.40 : 568,309.12 = 142,356.04 : x
  2. Step 2: Convert to fraction form
    379,164.40/568,309.12 = 142,356.04/x
  3. Step 3: Cross multiply
    379,164.40x = 568,309.12 × 142,356.04
  4. Step 4: Simplify right side
    379,164.40x = 80,902,235,819.08
  5. Step 5: Solve for x
    x = 80,902,235,819.08/379,164.40
  6. Step 6: Final answer
    x = 213,369.81

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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.