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Finding the Fourth Proportional to 521,994.67, 782,996.63 and 206,451.61

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Solution

The fourth proportional to 521,994.67, 782,996.63 and 206,451.61 is: 309,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,994.67 : 782,996.63 = 206,451.61 : x
  2. Step 2: Convert to fraction form
    521,994.67/782,996.63 = 206,451.61/x
  3. Step 3: Cross multiply
    521,994.67x = 782,996.63 × 206,451.61
  4. Step 4: Simplify right side
    521,994.67x = 161,650,914,888.07
  5. Step 5: Solve for x
    x = 161,650,914,888.07/521,994.67
  6. Step 6: Final answer
    x = 309,679.24

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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.