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Finding the Fourth Proportional to 256,080.70, 384,121.05 and 166,267.90

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Solution

The fourth proportional to 256,080.70, 384,121.05 and 166,267.90 is: 249,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,080.70 : 384,121.05 = 166,267.90 : x
  2. Step 2: Convert to fraction form
    256,080.70/384,121.05 = 166,267.90/x
  3. Step 3: Cross multiply
    256,080.70x = 384,121.05 × 166,267.90
  4. Step 4: Simplify right side
    256,080.70x = 63,867,000,329.30
  5. Step 5: Solve for x
    x = 63,867,000,329.30/256,080.70
  6. Step 6: Final answer
    x = 249,401.85

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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.