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Finding the Fourth Proportional to 456,758.96, 684,744.76 and 219,775.64

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Solution

The fourth proportional to 456,758.96, 684,744.76 and 219,775.64 is: 329,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,758.96 : 684,744.76 = 219,775.64 : x
  2. Step 2: Convert to fraction form
    456,758.96/684,744.76 = 219,775.64/x
  3. Step 3: Cross multiply
    456,758.96x = 684,744.76 × 219,775.64
  4. Step 4: Simplify right side
    456,758.96x = 150,490,217,865.65
  5. Step 5: Solve for x
    x = 150,490,217,865.65/456,758.96
  6. Step 6: Final answer
    x = 329,474.04

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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.