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Finding the Fourth Proportional to 271,693.56, 407,010.18 and 177,915

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Solution

The fourth proportional to 271,693.56, 407,010.18 and 177,915 is: 266,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,693.56 : 407,010.18 = 177,915 : x
  2. Step 2: Convert to fraction form
    271,693.56/407,010.18 = 177,915/x
  3. Step 3: Cross multiply
    271,693.56x = 407,010.18 × 177,915
  4. Step 4: Simplify right side
    271,693.56x = 72,413,216,174.70
  5. Step 5: Solve for x
    x = 72,413,216,174.70/271,693.56
  6. Step 6: Final answer
    x = 266,525.33

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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.