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Finding the Fourth Proportional to 509,917,927.80, 764,498,978.10 and 218,546,542.20

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Solution

The fourth proportional to 509,917,927.80, 764,498,978.10 and 218,546,542.20 is: 327,657,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,917,927.80 : 764,498,978.10 = 218,546,542.20 : x
  2. Step 2: Convert to fraction form
    509,917,927.80/764,498,978.10 = 218,546,542.20/x
  3. Step 3: Cross multiply
    509,917,927.80x = 764,498,978.10 × 218,546,542.20
  4. Step 4: Simplify right side
    509,917,927.80x = 167,078,608,179,188,512
  5. Step 5: Solve for x
    x = 167,078,608,179,188,512/509,917,927.80
  6. Step 6: Final answer
    x = 327,657,842.70

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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.