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Finding the Fourth Proportional to 406,422.08, 610,011.42 and 206,891.81

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Solution

The fourth proportional to 406,422.08, 610,011.42 and 206,891.81 is: 310,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,422.08 : 610,011.42 = 206,891.81 : x
  2. Step 2: Convert to fraction form
    406,422.08/610,011.42 = 206,891.81/x
  3. Step 3: Cross multiply
    406,422.08x = 610,011.42 × 206,891.81
  4. Step 4: Simplify right side
    406,422.08x = 126,206,366,804.47
  5. Step 5: Solve for x
    x = 126,206,366,804.47/406,422.08
  6. Step 6: Final answer
    x = 310,530.29

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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.