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Finding the Fourth Proportional to 284,310.26, 425,539.51 and 209,400.90

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Solution

The fourth proportional to 284,310.26, 425,539.51 and 209,400.90 is: 313,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310.26 : 425,539.51 = 209,400.90 : x
  2. Step 2: Convert to fraction form
    284,310.26/425,539.51 = 209,400.90/x
  3. Step 3: Cross multiply
    284,310.26x = 425,539.51 × 209,400.90
  4. Step 4: Simplify right side
    284,310.26x = 89,108,356,379.56
  5. Step 5: Solve for x
    x = 89,108,356,379.56/284,310.26
  6. Step 6: Final answer
    x = 313,419.42

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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.