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Finding the Fourth Proportional to 523,704.50, 722,743.17 and 394,414.94

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Solution

The fourth proportional to 523,704.50, 722,743.17 and 394,414.94 is: 544,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,704.50 : 722,743.17 = 394,414.94 : x
  2. Step 2: Convert to fraction form
    523,704.50/722,743.17 = 394,414.94/x
  3. Step 3: Cross multiply
    523,704.50x = 722,743.17 × 394,414.94
  4. Step 4: Simplify right side
    523,704.50x = 285,060,700,417.24
  5. Step 5: Solve for x
    x = 285,060,700,417.24/523,704.50
  6. Step 6: Final answer
    x = 544,315.93

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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.