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Finding the Fourth Proportional to 199,972.80, 299,959.20 and 180,619.20

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Solution

The fourth proportional to 199,972.80, 299,959.20 and 180,619.20 is: 270,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,972.80 : 299,959.20 = 180,619.20 : x
  2. Step 2: Convert to fraction form
    199,972.80/299,959.20 = 180,619.20/x
  3. Step 3: Cross multiply
    199,972.80x = 299,959.20 × 180,619.20
  4. Step 4: Simplify right side
    199,972.80x = 54,178,390,736.64
  5. Step 5: Solve for x
    x = 54,178,390,736.64/199,972.80
  6. Step 6: Final answer
    x = 270,928.80

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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.