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Finding the Fourth Proportional to 406,993.60, 561,003.86 and 320,812.84

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Solution

The fourth proportional to 406,993.60, 561,003.86 and 320,812.84 is: 442,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,993.60 : 561,003.86 = 320,812.84 : x
  2. Step 2: Convert to fraction form
    406,993.60/561,003.86 = 320,812.84/x
  3. Step 3: Cross multiply
    406,993.60x = 561,003.86 × 320,812.84
  4. Step 4: Simplify right side
    406,993.60x = 179,977,241,577.56
  5. Step 5: Solve for x
    x = 179,977,241,577.56/406,993.60
  6. Step 6: Final answer
    x = 442,211.48

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1.5x scale

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.