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Finding the Fourth Proportional to 543,378,400.90, 815,067,601.35 and 543,378,400.90

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Solution

The fourth proportional to 543,378,400.90, 815,067,601.35 and 543,378,400.90 is: 815,067,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,378,400.90 : 815,067,601.35 = 543,378,400.90 : x
  2. Step 2: Convert to fraction form
    543,378,400.90/815,067,601.35 = 543,378,400.90/x
  3. Step 3: Cross multiply
    543,378,400.90x = 815,067,601.35 × 543,378,400.90
  4. Step 4: Simplify right side
    543,378,400.90x = 442,890,129,846,961,664
  5. Step 5: Solve for x
    x = 442,890,129,846,961,664/543,378,400.90
  6. Step 6: Final answer
    x = 815,067,601.35

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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.