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Finding the Fourth Proportional to 494,151.53, 682,002.24 and 312,880.28

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Solution

The fourth proportional to 494,151.53, 682,002.24 and 312,880.28 is: 431,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,151.53 : 682,002.24 = 312,880.28 : x
  2. Step 2: Convert to fraction form
    494,151.53/682,002.24 = 312,880.28/x
  3. Step 3: Cross multiply
    494,151.53x = 682,002.24 × 312,880.28
  4. Step 4: Simplify right side
    494,151.53x = 213,385,051,811.83
  5. Step 5: Solve for x
    x = 213,385,051,811.83/494,151.53
  6. Step 6: Final answer
    x = 431,821.09

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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.