Home / 521,914,924.80-782,200,540.80-400,142,764.80

Finding the Fourth Proportional to 521,914,924.80, 782,200,540.80 and 400,142,764.80

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Solution

The fourth proportional to 521,914,924.80, 782,200,540.80 and 400,142,764.80 is: 599,699,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,914,924.80 : 782,200,540.80 = 400,142,764.80 : x
  2. Step 2: Convert to fraction form
    521,914,924.80/782,200,540.80 = 400,142,764.80/x
  3. Step 3: Cross multiply
    521,914,924.80x = 782,200,540.80 × 400,142,764.80
  4. Step 4: Simplify right side
    521,914,924.80x = 312,991,887,023,767,168
  5. Step 5: Solve for x
    x = 312,991,887,023,767,168/521,914,924.80
  6. Step 6: Final answer
    x = 599,699,054.68

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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.