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Finding the Fourth Proportional to 271,945.44, 407,875.92 and 138,924

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Solution

The fourth proportional to 271,945.44, 407,875.92 and 138,924 is: 208,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,945.44 : 407,875.92 = 138,924 : x
  2. Step 2: Convert to fraction form
    271,945.44/407,875.92 = 138,924/x
  3. Step 3: Cross multiply
    271,945.44x = 407,875.92 × 138,924
  4. Step 4: Simplify right side
    271,945.44x = 56,663,754,310.08
  5. Step 5: Solve for x
    x = 56,663,754,310.08/271,945.44
  6. Step 6: Final answer
    x = 208,364.42

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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.