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Finding the Fourth Proportional to 412,691.72, 569,338.32 and 285,145.88

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Solution

The fourth proportional to 412,691.72, 569,338.32 and 285,145.88 is: 393,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,691.72 : 569,338.32 = 285,145.88 : x
  2. Step 2: Convert to fraction form
    412,691.72/569,338.32 = 285,145.88/x
  3. Step 3: Cross multiply
    412,691.72x = 569,338.32 × 285,145.88
  4. Step 4: Simplify right side
    412,691.72x = 162,344,476,274.12
  5. Step 5: Solve for x
    x = 162,344,476,274.12/412,691.72
  6. Step 6: Final answer
    x = 393,379.53

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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.