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Finding the Fourth Proportional to 268,399.56, 402,578.37 and 118,644.74

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Solution

The fourth proportional to 268,399.56, 402,578.37 and 118,644.74 is: 177,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,399.56 : 402,578.37 = 118,644.74 : x
  2. Step 2: Convert to fraction form
    268,399.56/402,578.37 = 118,644.74/x
  3. Step 3: Cross multiply
    268,399.56x = 402,578.37 × 118,644.74
  4. Step 4: Simplify right side
    268,399.56x = 47,763,804,025.38
  5. Step 5: Solve for x
    x = 47,763,804,025.38/268,399.56
  6. Step 6: Final answer
    x = 177,957.83

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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.