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Finding the Fourth Proportional to 436,311.80, 654,074 and 303,254.72

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Solution

The fourth proportional to 436,311.80, 654,074 and 303,254.72 is: 454,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,311.80 : 654,074 = 303,254.72 : x
  2. Step 2: Convert to fraction form
    436,311.80/654,074 = 303,254.72/x
  3. Step 3: Cross multiply
    436,311.80x = 654,074 × 303,254.72
  4. Step 4: Simplify right side
    436,311.80x = 198,351,027,729.28
  5. Step 5: Solve for x
    x = 198,351,027,729.28/436,311.80
  6. Step 6: Final answer
    x = 454,608.44

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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.