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Finding the Fourth Proportional to 309,972.80, 464,959.20 and 270,606.80

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Solution

The fourth proportional to 309,972.80, 464,959.20 and 270,606.80 is: 405,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,972.80 : 464,959.20 = 270,606.80 : x
  2. Step 2: Convert to fraction form
    309,972.80/464,959.20 = 270,606.80/x
  3. Step 3: Cross multiply
    309,972.80x = 464,959.20 × 270,606.80
  4. Step 4: Simplify right side
    309,972.80x = 125,821,121,242.56
  5. Step 5: Solve for x
    x = 125,821,121,242.56/309,972.80
  6. Step 6: Final answer
    x = 405,910.20

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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.