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Finding the Fourth Proportional to 299,442,001.60, 449,163,002.40 and 206,727,198.40

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Solution

The fourth proportional to 299,442,001.60, 449,163,002.40 and 206,727,198.40 is: 310,090,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442,001.60 : 449,163,002.40 = 206,727,198.40 : x
  2. Step 2: Convert to fraction form
    299,442,001.60/449,163,002.40 = 206,727,198.40/x
  3. Step 3: Cross multiply
    299,442,001.60x = 449,163,002.40 × 206,727,198.40
  4. Step 4: Simplify right side
    299,442,001.60x = 92,854,209,111,084,480
  5. Step 5: Solve for x
    x = 92,854,209,111,084,480/299,442,001.60
  6. Step 6: Final answer
    x = 310,090,797.60

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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.