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Finding the Fourth Proportional to 885,275,978.40, 1,328,764,273.20 and 449,069,205.60

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Solution

The fourth proportional to 885,275,978.40, 1,328,764,273.20 and 449,069,205.60 is: 674,035,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,275,978.40 : 1,328,764,273.20 = 449,069,205.60 : x
  2. Step 2: Convert to fraction form
    885,275,978.40/1,328,764,273.20 = 449,069,205.60/x
  3. Step 3: Cross multiply
    885,275,978.40x = 1,328,764,273.20 × 449,069,205.60
  4. Step 4: Simplify right side
    885,275,978.40x = 596,707,116,595,585,408
  5. Step 5: Solve for x
    x = 596,707,116,595,585,408/885,275,978.40
  6. Step 6: Final answer
    x = 674,035,138.37

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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.