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Finding the Fourth Proportional to 299,093,464.80, 447,856,959.60 and 240,489,640.80

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Solution

The fourth proportional to 299,093,464.80, 447,856,959.60 and 240,489,640.80 is: 360,104,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,093,464.80 : 447,856,959.60 = 240,489,640.80 : x
  2. Step 2: Convert to fraction form
    299,093,464.80/447,856,959.60 = 240,489,640.80/x
  3. Step 3: Cross multiply
    299,093,464.80x = 447,856,959.60 × 240,489,640.80
  4. Step 4: Simplify right side
    299,093,464.80x = 107,704,959,343,984,128
  5. Step 5: Solve for x
    x = 107,704,959,343,984,128/299,093,464.80
  6. Step 6: Final answer
    x = 360,104,689.74

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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.