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Finding the Fourth Proportional to 330,974, 456,753.84 and 180,080.72

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Solution

The fourth proportional to 330,974, 456,753.84 and 180,080.72 is: 248,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,974 : 456,753.84 = 180,080.72 : x
  2. Step 2: Convert to fraction form
    330,974/456,753.84 = 180,080.72/x
  3. Step 3: Cross multiply
    330,974x = 456,753.84 × 180,080.72
  4. Step 4: Simplify right side
    330,974x = 82,252,560,369.96
  5. Step 5: Solve for x
    x = 82,252,560,369.96/330,974
  6. Step 6: Final answer
    x = 248,516.68

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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.