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Finding the Fourth Proportional to 521,969.34, 782,394.31 and 341,986.80

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Solution

The fourth proportional to 521,969.34, 782,394.31 and 341,986.80 is: 512,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,969.34 : 782,394.31 = 341,986.80 : x
  2. Step 2: Convert to fraction form
    521,969.34/782,394.31 = 341,986.80/x
  3. Step 3: Cross multiply
    521,969.34x = 782,394.31 × 341,986.80
  4. Step 4: Simplify right side
    521,969.34x = 267,568,527,852.89
  5. Step 5: Solve for x
    x = 267,568,527,852.89/521,969.34
  6. Step 6: Final answer
    x = 512,613.49

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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.