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Finding the Fourth Proportional to 494,762.50, 682,772.52 and 268,408

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Solution

The fourth proportional to 494,762.50, 682,772.52 and 268,408 is: 370,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,762.50 : 682,772.52 = 268,408 : x
  2. Step 2: Convert to fraction form
    494,762.50/682,772.52 = 268,408/x
  3. Step 3: Cross multiply
    494,762.50x = 682,772.52 × 268,408
  4. Step 4: Simplify right side
    494,762.50x = 183,261,606,548.16
  5. Step 5: Solve for x
    x = 183,261,606,548.16/494,762.50
  6. Step 6: Final answer
    x = 370,403.19

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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.