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Finding the Fourth Proportional to 520,857.60, 781,372.80 and 205,324.80

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Solution

The fourth proportional to 520,857.60, 781,372.80 and 205,324.80 is: 308,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,857.60 : 781,372.80 = 205,324.80 : x
  2. Step 2: Convert to fraction form
    520,857.60/781,372.80 = 205,324.80/x
  3. Step 3: Cross multiply
    520,857.60x = 781,372.80 × 205,324.80
  4. Step 4: Simplify right side
    520,857.60x = 160,435,213,885.44
  5. Step 5: Solve for x
    x = 160,435,213,885.44/520,857.60
  6. Step 6: Final answer
    x = 308,021.26

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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.