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Finding the Fourth Proportional to 271,331.89, 407,077.41 and 121,538.86

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Solution

The fourth proportional to 271,331.89, 407,077.41 and 121,538.86 is: 182,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,331.89 : 407,077.41 = 121,538.86 : x
  2. Step 2: Convert to fraction form
    271,331.89/407,077.41 = 121,538.86/x
  3. Step 3: Cross multiply
    271,331.89x = 407,077.41 × 121,538.86
  4. Step 4: Simplify right side
    271,331.89x = 49,475,722,307.77
  5. Step 5: Solve for x
    x = 49,475,722,307.77/271,331.89
  6. Step 6: Final answer
    x = 182,343.93

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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.