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Finding the Fourth Proportional to 406,542.65, 610,372.56 and 206,997.12

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Solution

The fourth proportional to 406,542.65, 610,372.56 and 206,997.12 is: 310,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,542.65 : 610,372.56 = 206,997.12 : x
  2. Step 2: Convert to fraction form
    406,542.65/610,372.56 = 206,997.12/x
  3. Step 3: Cross multiply
    406,542.65x = 610,372.56 × 206,997.12
  4. Step 4: Simplify right side
    406,542.65x = 126,345,362,823.27
  5. Step 5: Solve for x
    x = 126,345,362,823.27/406,542.65
  6. Step 6: Final answer
    x = 310,780.10

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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.