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Finding the Fourth Proportional to 521,784.30, 782,712.90 and 206,200.20

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Solution

The fourth proportional to 521,784.30, 782,712.90 and 206,200.20 is: 309,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,784.30 : 782,712.90 = 206,200.20 : x
  2. Step 2: Convert to fraction form
    521,784.30/782,712.90 = 206,200.20/x
  3. Step 3: Cross multiply
    521,784.30x = 782,712.90 × 206,200.20
  4. Step 4: Simplify right side
    521,784.30x = 161,395,556,522.58
  5. Step 5: Solve for x
    x = 161,395,556,522.58/521,784.30
  6. Step 6: Final answer
    x = 309,314.70

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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.