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Finding the Fourth Proportional to 342,012.30, 472,023.85 and 196,815.09

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Solution

The fourth proportional to 342,012.30, 472,023.85 and 196,815.09 is: 271,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,012.30 : 472,023.85 = 196,815.09 : x
  2. Step 2: Convert to fraction form
    342,012.30/472,023.85 = 196,815.09/x
  3. Step 3: Cross multiply
    342,012.30x = 472,023.85 × 196,815.09
  4. Step 4: Simplify right side
    342,012.30x = 92,901,416,519.90
  5. Step 5: Solve for x
    x = 92,901,416,519.90/342,012.30
  6. Step 6: Final answer
    x = 271,631.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.