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Finding the Fourth Proportional to 521,780.40, 782,929.80 and 206,247.60

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Solution

The fourth proportional to 521,780.40, 782,929.80 and 206,247.60 is: 309,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,780.40 : 782,929.80 = 206,247.60 : x
  2. Step 2: Convert to fraction form
    521,780.40/782,929.80 = 206,247.60/x
  3. Step 3: Cross multiply
    521,780.40x = 782,929.80 × 206,247.60
  4. Step 4: Simplify right side
    521,780.40x = 161,477,392,218.48
  5. Step 5: Solve for x
    x = 161,477,392,218.48/521,780.40
  6. Step 6: Final answer
    x = 309,473.86

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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.