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Finding the Fourth Proportional to 406,608.40, 561,317.88 and 270,722.80

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Solution

The fourth proportional to 406,608.40, 561,317.88 and 270,722.80 is: 373,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,608.40 : 561,317.88 = 270,722.80 : x
  2. Step 2: Convert to fraction form
    406,608.40/561,317.88 = 270,722.80/x
  3. Step 3: Cross multiply
    406,608.40x = 561,317.88 × 270,722.80
  4. Step 4: Simplify right side
    406,608.40x = 151,961,548,163.66
  5. Step 5: Solve for x
    x = 151,961,548,163.66/406,608.40
  6. Step 6: Final answer
    x = 373,729.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.