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Finding the Fourth Proportional to 343,297,200.80, 514,945,801.20 and 320,454,423.20

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Solution

The fourth proportional to 343,297,200.80, 514,945,801.20 and 320,454,423.20 is: 480,681,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,297,200.80 : 514,945,801.20 = 320,454,423.20 : x
  2. Step 2: Convert to fraction form
    343,297,200.80/514,945,801.20 = 320,454,423.20/x
  3. Step 3: Cross multiply
    343,297,200.80x = 514,945,801.20 × 320,454,423.20
  4. Step 4: Simplify right side
    343,297,200.80x = 165,016,659,702,807,872
  5. Step 5: Solve for x
    x = 165,016,659,702,807,872/343,297,200.80
  6. Step 6: Final answer
    x = 480,681,634.80

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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.