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Finding the Fourth Proportional to 406,405.26, 610,204.77 and 399,229.47

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Solution

The fourth proportional to 406,405.26, 610,204.77 and 399,229.47 is: 599,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,405.26 : 610,204.77 = 399,229.47 : x
  2. Step 2: Convert to fraction form
    406,405.26/610,204.77 = 399,229.47/x
  3. Step 3: Cross multiply
    406,405.26x = 610,204.77 × 399,229.47
  4. Step 4: Simplify right side
    406,405.26x = 243,611,726,918.57
  5. Step 5: Solve for x
    x = 243,611,726,918.57/406,405.26
  6. Step 6: Final answer
    x = 599,430.55

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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.