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Finding the Fourth Proportional to 521,703.40, 782,814.30 and 206,170.60

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Solution

The fourth proportional to 521,703.40, 782,814.30 and 206,170.60 is: 309,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,703.40 : 782,814.30 = 206,170.60 : x
  2. Step 2: Convert to fraction form
    521,703.40/782,814.30 = 206,170.60/x
  3. Step 3: Cross multiply
    521,703.40x = 782,814.30 × 206,170.60
  4. Step 4: Simplify right side
    521,703.40x = 161,393,293,919.58
  5. Step 5: Solve for x
    x = 161,393,293,919.58/521,703.40
  6. Step 6: Final answer
    x = 309,358.33

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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.