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Finding the Fourth Proportional to 271,809.18, 407,533.82 and 129,676.39

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Solution

The fourth proportional to 271,809.18, 407,533.82 and 129,676.39 is: 194,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.18 : 407,533.82 = 129,676.39 : x
  2. Step 2: Convert to fraction form
    271,809.18/407,533.82 = 129,676.39/x
  3. Step 3: Cross multiply
    271,809.18x = 407,533.82 × 129,676.39
  4. Step 4: Simplify right side
    271,809.18x = 52,847,512,913.29
  5. Step 5: Solve for x
    x = 52,847,512,913.29/271,809.18
  6. Step 6: Final answer
    x = 194,428.73

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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.