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Finding the Fourth Proportional to 413,388,639.60, 620,082,959.40 and 206,764,378.80

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Solution

The fourth proportional to 413,388,639.60, 620,082,959.40 and 206,764,378.80 is: 310,146,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,388,639.60 : 620,082,959.40 = 206,764,378.80 : x
  2. Step 2: Convert to fraction form
    413,388,639.60/620,082,959.40 = 206,764,378.80/x
  3. Step 3: Cross multiply
    413,388,639.60x = 620,082,959.40 × 206,764,378.80
  4. Step 4: Simplify right side
    413,388,639.60x = 128,211,067,904,806,624
  5. Step 5: Solve for x
    x = 128,211,067,904,806,624/413,388,639.60
  6. Step 6: Final answer
    x = 310,146,568.20

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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.