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Finding the Fourth Proportional to 1,271,079,387.71, 1,906,583,836.71 and 338,410,237.30

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Solution

The fourth proportional to 1,271,079,387.71, 1,906,583,836.71 and 338,410,237.30 is: 507,605,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,079,387.71 : 1,906,583,836.71 = 338,410,237.30 : x
  2. Step 2: Convert to fraction form
    1,271,079,387.71/1,906,583,836.71 = 338,410,237.30/x
  3. Step 3: Cross multiply
    1,271,079,387.71x = 1,906,583,836.71 × 338,410,237.30
  4. Step 4: Simplify right side
    1,271,079,387.71x = 645,207,488,613,375,616
  5. Step 5: Solve for x
    x = 645,207,488,613,375,616/1,271,079,387.71
  6. Step 6: Final answer
    x = 507,605,972.41

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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.