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Finding the Fourth Proportional to 186,478.70, 279,388.65 and 180,311.90

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Solution

The fourth proportional to 186,478.70, 279,388.65 and 180,311.90 is: 270,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,478.70 : 279,388.65 = 180,311.90 : x
  2. Step 2: Convert to fraction form
    186,478.70/279,388.65 = 180,311.90/x
  3. Step 3: Cross multiply
    186,478.70x = 279,388.65 × 180,311.90
  4. Step 4: Simplify right side
    186,478.70x = 50,377,098,319.94
  5. Step 5: Solve for x
    x = 50,377,098,319.94/186,478.70
  6. Step 6: Final answer
    x = 270,149.34

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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.