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Finding the Fourth Proportional to 521,973.75, 782,400.90 and 341,991.21

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Solution

The fourth proportional to 521,973.75, 782,400.90 and 341,991.21 is: 512,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,973.75 : 782,400.90 = 341,991.21 : x
  2. Step 2: Convert to fraction form
    521,973.75/782,400.90 = 341,991.21/x
  3. Step 3: Cross multiply
    521,973.75x = 782,400.90 × 341,991.21
  4. Step 4: Simplify right side
    521,973.75x = 267,574,230,496.09
  5. Step 5: Solve for x
    x = 267,574,230,496.09/521,973.75
  6. Step 6: Final answer
    x = 512,620.09

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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.