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Finding the Fourth Proportional to 406,682.78, 610,105.71 and 140,453.06

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Solution

The fourth proportional to 406,682.78, 610,105.71 and 140,453.06 is: 210,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,682.78 : 610,105.71 = 140,453.06 : x
  2. Step 2: Convert to fraction form
    406,682.78/610,105.71 = 140,453.06/x
  3. Step 3: Cross multiply
    406,682.78x = 610,105.71 × 140,453.06
  4. Step 4: Simplify right side
    406,682.78x = 85,691,213,892.97
  5. Step 5: Solve for x
    x = 85,691,213,892.97/406,682.78
  6. Step 6: Final answer
    x = 210,707.75

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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.