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Finding the Fourth Proportional to 655,633.70, 983,583.56 and 206,250.05

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Solution

The fourth proportional to 655,633.70, 983,583.56 and 206,250.05 is: 309,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,633.70 : 983,583.56 = 206,250.05 : x
  2. Step 2: Convert to fraction form
    655,633.70/983,583.56 = 206,250.05/x
  3. Step 3: Cross multiply
    655,633.70x = 983,583.56 × 206,250.05
  4. Step 4: Simplify right side
    655,633.70x = 202,864,153,511.26
  5. Step 5: Solve for x
    x = 202,864,153,511.26/655,633.70
  6. Step 6: Final answer
    x = 309,416.91

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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.