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Finding the Fourth Proportional to 291,148.86, 436,718.42 and 131,135.80

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Solution

The fourth proportional to 291,148.86, 436,718.42 and 131,135.80 is: 196,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,148.86 : 436,718.42 = 131,135.80 : x
  2. Step 2: Convert to fraction form
    291,148.86/436,718.42 = 131,135.80/x
  3. Step 3: Cross multiply
    291,148.86x = 436,718.42 × 131,135.80
  4. Step 4: Simplify right side
    291,148.86x = 57,269,419,381.44
  5. Step 5: Solve for x
    x = 57,269,419,381.44/291,148.86
  6. Step 6: Final answer
    x = 196,701.51

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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.