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Finding the Fourth Proportional to 406,490.78, 609,516.26 and 322,789.44

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Solution

The fourth proportional to 406,490.78, 609,516.26 and 322,789.44 is: 484,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,490.78 : 609,516.26 = 322,789.44 : x
  2. Step 2: Convert to fraction form
    406,490.78/609,516.26 = 322,789.44/x
  3. Step 3: Cross multiply
    406,490.78x = 609,516.26 × 322,789.44
  4. Step 4: Simplify right side
    406,490.78x = 196,745,412,236.29
  5. Step 5: Solve for x
    x = 196,745,412,236.29/406,490.78
  6. Step 6: Final answer
    x = 484,009.53

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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.