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Finding the Fourth Proportional to 541,396.80, 811,599.84 and 208,722.24

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Solution

The fourth proportional to 541,396.80, 811,599.84 and 208,722.24 is: 312,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,396.80 : 811,599.84 = 208,722.24 : x
  2. Step 2: Convert to fraction form
    541,396.80/811,599.84 = 208,722.24/x
  3. Step 3: Cross multiply
    541,396.80x = 811,599.84 × 208,722.24
  4. Step 4: Simplify right side
    541,396.80x = 169,398,936,588.44
  5. Step 5: Solve for x
    x = 169,398,936,588.44/541,396.80
  6. Step 6: Final answer
    x = 312,892.39

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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.