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Finding the Fourth Proportional to 271,958.85, 407,876.78 and 103,419.11

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Solution

The fourth proportional to 271,958.85, 407,876.78 and 103,419.11 is: 155,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,958.85 : 407,876.78 = 103,419.11 : x
  2. Step 2: Convert to fraction form
    271,958.85/407,876.78 = 103,419.11/x
  3. Step 3: Cross multiply
    271,958.85x = 407,876.78 × 103,419.11
  4. Step 4: Simplify right side
    271,958.85x = 42,182,254,855.51
  5. Step 5: Solve for x
    x = 42,182,254,855.51/271,958.85
  6. Step 6: Final answer
    x = 155,105.28

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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.