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Finding the Fourth Proportional to 342,178.16, 512,906.36 and 142,297.28

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Solution

The fourth proportional to 342,178.16, 512,906.36 and 142,297.28 is: 213,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,178.16 : 512,906.36 = 142,297.28 : x
  2. Step 2: Convert to fraction form
    342,178.16/512,906.36 = 142,297.28/x
  3. Step 3: Cross multiply
    342,178.16x = 512,906.36 × 142,297.28
  4. Step 4: Simplify right side
    342,178.16x = 72,985,179,922.70
  5. Step 5: Solve for x
    x = 72,985,179,922.70/342,178.16
  6. Step 6: Final answer
    x = 213,295.85

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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.