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Finding the Fourth Proportional to 1,309,866,318.72, 1,808,431,297.92 and 833,825,287.62

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Solution

The fourth proportional to 1,309,866,318.72, 1,808,431,297.92 and 833,825,287.62 is: 1,151,198,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,866,318.72 : 1,808,431,297.92 = 833,825,287.62 : x
  2. Step 2: Convert to fraction form
    1,309,866,318.72/1,808,431,297.92 = 833,825,287.62/x
  3. Step 3: Cross multiply
    1,309,866,318.72x = 1,808,431,297.92 × 833,825,287.62
  4. Step 4: Simplify right side
    1,309,866,318.72x = 1,507,915,747,129,154,048
  5. Step 5: Solve for x
    x = 1,507,915,747,129,154,048/1,309,866,318.72
  6. Step 6: Final answer
    x = 1,151,198,199.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.