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Finding the Fourth Proportional to 406,470.29, 609,736.97 and 122,138.64

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Solution

The fourth proportional to 406,470.29, 609,736.97 and 122,138.64 is: 183,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,470.29 : 609,736.97 = 122,138.64 : x
  2. Step 2: Convert to fraction form
    406,470.29/609,736.97 = 122,138.64/x
  3. Step 3: Cross multiply
    406,470.29x = 609,736.97 × 122,138.64
  4. Step 4: Simplify right side
    406,470.29x = 74,472,444,578.87
  5. Step 5: Solve for x
    x = 74,472,444,578.87/406,470.29
  6. Step 6: Final answer
    x = 183,217.44

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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.