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Finding the Fourth Proportional to 521,990.66, 782,990.62 and 206,447.60

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Solution

The fourth proportional to 521,990.66, 782,990.62 and 206,447.60 is: 309,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,990.66 : 782,990.62 = 206,447.60 : x
  2. Step 2: Convert to fraction form
    521,990.66/782,990.62 = 206,447.60/x
  3. Step 3: Cross multiply
    521,990.66x = 782,990.62 × 206,447.60
  4. Step 4: Simplify right side
    521,990.66x = 161,646,535,762.87
  5. Step 5: Solve for x
    x = 161,646,535,762.87/521,990.66
  6. Step 6: Final answer
    x = 309,673.23

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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.