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Finding the Fourth Proportional to 271,930.35, 407,022.08 and 145,253.84

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Solution

The fourth proportional to 271,930.35, 407,022.08 and 145,253.84 is: 217,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930.35 : 407,022.08 = 145,253.84 : x
  2. Step 2: Convert to fraction form
    271,930.35/407,022.08 = 145,253.84/x
  3. Step 3: Cross multiply
    271,930.35x = 407,022.08 × 145,253.84
  4. Step 4: Simplify right side
    271,930.35x = 59,121,520,084.79
  5. Step 5: Solve for x
    x = 59,121,520,084.79/271,930.35
  6. Step 6: Final answer
    x = 217,414.20

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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.