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Finding the Fourth Proportional to 406,544.65, 610,375.57 and 206,999.12

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Solution

The fourth proportional to 406,544.65, 610,375.57 and 206,999.12 is: 310,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,544.65 : 610,375.57 = 206,999.12 : x
  2. Step 2: Convert to fraction form
    406,544.65/610,375.57 = 206,999.12/x
  3. Step 3: Cross multiply
    406,544.65x = 610,375.57 × 206,999.12
  4. Step 4: Simplify right side
    406,544.65x = 126,347,205,859.50
  5. Step 5: Solve for x
    x = 126,347,205,859.50/406,544.65
  6. Step 6: Final answer
    x = 310,783.10

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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.