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Finding the Fourth Proportional to 521,643.20, 782,464.80 and 205,937.60

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Solution

The fourth proportional to 521,643.20, 782,464.80 and 205,937.60 is: 308,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,643.20 : 782,464.80 = 205,937.60 : x
  2. Step 2: Convert to fraction form
    521,643.20/782,464.80 = 205,937.60/x
  3. Step 3: Cross multiply
    521,643.20x = 782,464.80 × 205,937.60
  4. Step 4: Simplify right side
    521,643.20x = 161,138,922,996.48
  5. Step 5: Solve for x
    x = 161,138,922,996.48/521,643.20
  6. Step 6: Final answer
    x = 308,906.40

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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.