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Finding the Fourth Proportional to 655,703.93, 983,469.78 and 206,427.15

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Solution

The fourth proportional to 655,703.93, 983,469.78 and 206,427.15 is: 309,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,703.93 : 983,469.78 = 206,427.15 : x
  2. Step 2: Convert to fraction form
    655,703.93/983,469.78 = 206,427.15/x
  3. Step 3: Cross multiply
    655,703.93x = 983,469.78 × 206,427.15
  4. Step 4: Simplify right side
    655,703.93x = 203,014,863,796.53
  5. Step 5: Solve for x
    x = 203,014,863,796.53/655,703.93
  6. Step 6: Final answer
    x = 309,613.61

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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.