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Finding the Fourth Proportional to 864,756,288.56, 1,296,866,157.68 and 311,986,857.76

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Solution

The fourth proportional to 864,756,288.56, 1,296,866,157.68 and 311,986,857.76 is: 467,883,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,756,288.56 : 1,296,866,157.68 = 311,986,857.76 : x
  2. Step 2: Convert to fraction form
    864,756,288.56/1,296,866,157.68 = 311,986,857.76/x
  3. Step 3: Cross multiply
    864,756,288.56x = 1,296,866,157.68 × 311,986,857.76
  4. Step 4: Simplify right side
    864,756,288.56x = 404,605,197,469,867,904
  5. Step 5: Solve for x
    x = 404,605,197,469,867,904/864,756,288.56
  6. Step 6: Final answer
    x = 467,883,498.30

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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.