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Finding the Fourth Proportional to 225,424.80, 311,410.26 and 180,043.20

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Solution

The fourth proportional to 225,424.80, 311,410.26 and 180,043.20 is: 248,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,424.80 : 311,410.26 = 180,043.20 : x
  2. Step 2: Convert to fraction form
    225,424.80/311,410.26 = 180,043.20/x
  3. Step 3: Cross multiply
    225,424.80x = 311,410.26 × 180,043.20
  4. Step 4: Simplify right side
    225,424.80x = 56,067,299,723.23
  5. Step 5: Solve for x
    x = 56,067,299,723.23/225,424.80
  6. Step 6: Final answer
    x = 248,718.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.