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Finding the Fourth Proportional to 655,458.26, 983,381.80 and 206,241.18

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Solution

The fourth proportional to 655,458.26, 983,381.80 and 206,241.18 is: 309,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,458.26 : 983,381.80 = 206,241.18 : x
  2. Step 2: Convert to fraction form
    655,458.26/983,381.80 = 206,241.18/x
  3. Step 3: Cross multiply
    655,458.26x = 983,381.80 × 206,241.18
  4. Step 4: Simplify right side
    655,458.26x = 202,813,822,822.52
  5. Step 5: Solve for x
    x = 202,813,822,822.52/655,458.26
  6. Step 6: Final answer
    x = 309,422.94

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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.