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Finding the Fourth Proportional to 873,217,998.90, 1,309,826,998.35 and 873,217,998.90

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Solution

The fourth proportional to 873,217,998.90, 1,309,826,998.35 and 873,217,998.90 is: 1,309,826,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,217,998.90 : 1,309,826,998.35 = 873,217,998.90 : x
  2. Step 2: Convert to fraction form
    873,217,998.90/1,309,826,998.35 = 873,217,998.90/x
  3. Step 3: Cross multiply
    873,217,998.90x = 1,309,826,998.35 × 873,217,998.90
  4. Step 4: Simplify right side
    873,217,998.90x = 1,143,764,510,404,380,544
  5. Step 5: Solve for x
    x = 1,143,764,510,404,380,544/873,217,998.90
  6. Step 6: Final answer
    x = 1,309,826,998.35

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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.