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Finding the Fourth Proportional to 379,168.40, 568,315.16 and 142,360

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Solution

The fourth proportional to 379,168.40, 568,315.16 and 142,360 is: 213,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,168.40 : 568,315.16 = 142,360 : x
  2. Step 2: Convert to fraction form
    379,168.40/568,315.16 = 142,360/x
  3. Step 3: Cross multiply
    379,168.40x = 568,315.16 × 142,360
  4. Step 4: Simplify right side
    379,168.40x = 80,905,346,177.60
  5. Step 5: Solve for x
    x = 80,905,346,177.60/379,168.40
  6. Step 6: Final answer
    x = 213,375.76

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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.