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Finding the Fourth Proportional to 298,941.09, 412,305.42 and 191,521.12

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Solution

The fourth proportional to 298,941.09, 412,305.42 and 191,521.12 is: 264,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,941.09 : 412,305.42 = 191,521.12 : x
  2. Step 2: Convert to fraction form
    298,941.09/412,305.42 = 191,521.12/x
  3. Step 3: Cross multiply
    298,941.09x = 412,305.42 × 191,521.12
  4. Step 4: Simplify right side
    298,941.09x = 78,965,193,758.94
  5. Step 5: Solve for x
    x = 78,965,193,758.94/298,941.09
  6. Step 6: Final answer
    x = 264,149.69

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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.