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Finding the Fourth Proportional to 494,776, 682,784.40 and 268,429.60

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Solution

The fourth proportional to 494,776, 682,784.40 and 268,429.60 is: 370,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,776 : 682,784.40 = 268,429.60 : x
  2. Step 2: Convert to fraction form
    494,776/682,784.40 = 268,429.60/x
  3. Step 3: Cross multiply
    494,776x = 682,784.40 × 268,429.60
  4. Step 4: Simplify right side
    494,776x = 183,279,543,378.24
  5. Step 5: Solve for x
    x = 183,279,543,378.24/494,776
  6. Step 6: Final answer
    x = 370,429.33

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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.