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Finding the Fourth Proportional to 514,399.22, 709,863.20 and 284,955.80

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Solution

The fourth proportional to 514,399.22, 709,863.20 and 284,955.80 is: 393,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,399.22 : 709,863.20 = 284,955.80 : x
  2. Step 2: Convert to fraction form
    514,399.22/709,863.20 = 284,955.80/x
  3. Step 3: Cross multiply
    514,399.22x = 709,863.20 × 284,955.80
  4. Step 4: Simplify right side
    514,399.22x = 202,279,636,046.56
  5. Step 5: Solve for x
    x = 202,279,636,046.56/514,399.22
  6. Step 6: Final answer
    x = 393,234.73

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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.