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Finding the Fourth Proportional to 407,438.82, 611,758.01 and 227,876.04

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Solution

The fourth proportional to 407,438.82, 611,758.01 and 227,876.04 is: 342,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438.82 : 611,758.01 = 227,876.04 : x
  2. Step 2: Convert to fraction form
    407,438.82/611,758.01 = 227,876.04/x
  3. Step 3: Cross multiply
    407,438.82x = 611,758.01 × 227,876.04
  4. Step 4: Simplify right side
    407,438.82x = 139,404,993,326.77
  5. Step 5: Solve for x
    x = 139,404,993,326.77/407,438.82
  6. Step 6: Final answer
    x = 342,149.51

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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.