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Finding the Fourth Proportional to 1,619,005,500.78, 2,234,228,312.43 and 876,449,539.50

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Solution

The fourth proportional to 1,619,005,500.78, 2,234,228,312.43 and 876,449,539.50 is: 1,209,500,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,005,500.78 : 2,234,228,312.43 = 876,449,539.50 : x
  2. Step 2: Convert to fraction form
    1,619,005,500.78/2,234,228,312.43 = 876,449,539.50/x
  3. Step 3: Cross multiply
    1,619,005,500.78x = 2,234,228,312.43 × 876,449,539.50
  4. Step 4: Simplify right side
    1,619,005,500.78x = 1,958,188,375,567,135,488
  5. Step 5: Solve for x
    x = 1,958,188,375,567,135,488/1,619,005,500.78
  6. Step 6: Final answer
    x = 1,209,500,755.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.