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Finding the Fourth Proportional to 874,375,743.20, 1,312,067,499.60 and 329,508,312.80

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Solution

The fourth proportional to 874,375,743.20, 1,312,067,499.60 and 329,508,312.80 is: 494,452,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,375,743.20 : 1,312,067,499.60 = 329,508,312.80 : x
  2. Step 2: Convert to fraction form
    874,375,743.20/1,312,067,499.60 = 329,508,312.80/x
  3. Step 3: Cross multiply
    874,375,743.20x = 1,312,067,499.60 × 329,508,312.80
  4. Step 4: Simplify right side
    874,375,743.20x = 432,337,148,072,910,656
  5. Step 5: Solve for x
    x = 432,337,148,072,910,656/874,375,743.20
  6. Step 6: Final answer
    x = 494,452,358.08

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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.