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Finding the Fourth Proportional to 271,938.82, 407,866.05 and 138,917.38

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Solution

The fourth proportional to 271,938.82, 407,866.05 and 138,917.38 is: 208,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,938.82 : 407,866.05 = 138,917.38 : x
  2. Step 2: Convert to fraction form
    271,938.82/407,866.05 = 138,917.38/x
  3. Step 3: Cross multiply
    271,938.82x = 407,866.05 × 138,917.38
  4. Step 4: Simplify right side
    271,938.82x = 56,659,683,056.95
  5. Step 5: Solve for x
    x = 56,659,683,056.95/271,938.82
  6. Step 6: Final answer
    x = 208,354.52

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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.