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Finding the Fourth Proportional to 213,281,201.20, 319,921,801.80 and 188,622,338.80

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Solution

The fourth proportional to 213,281,201.20, 319,921,801.80 and 188,622,338.80 is: 282,933,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,281,201.20 : 319,921,801.80 = 188,622,338.80 : x
  2. Step 2: Convert to fraction form
    213,281,201.20/319,921,801.80 = 188,622,338.80/x
  3. Step 3: Cross multiply
    213,281,201.20x = 319,921,801.80 × 188,622,338.80
  4. Step 4: Simplify right side
    213,281,201.20x = 60,344,398,488,626,056
  5. Step 5: Solve for x
    x = 60,344,398,488,626,056/213,281,201.20
  6. Step 6: Final answer
    x = 282,933,508.20

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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.