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Finding the Fourth Proportional to 406,994.60, 561,005.24 and 320,813.84

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Solution

The fourth proportional to 406,994.60, 561,005.24 and 320,813.84 is: 442,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.60 : 561,005.24 = 320,813.84 : x
  2. Step 2: Convert to fraction form
    406,994.60/561,005.24 = 320,813.84/x
  3. Step 3: Cross multiply
    406,994.60x = 561,005.24 × 320,813.84
  4. Step 4: Simplify right side
    406,994.60x = 179,978,245,304.52
  5. Step 5: Solve for x
    x = 179,978,245,304.52/406,994.60
  6. Step 6: Final answer
    x = 442,212.86

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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.