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Finding the Fourth Proportional to 355,287,728.80, 533,827,388.40 and 225,957,296.80

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Solution

The fourth proportional to 355,287,728.80, 533,827,388.40 and 225,957,296.80 is: 339,505,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,287,728.80 : 533,827,388.40 = 225,957,296.80 : x
  2. Step 2: Convert to fraction form
    355,287,728.80/533,827,388.40 = 225,957,296.80/x
  3. Step 3: Cross multiply
    355,287,728.80x = 533,827,388.40 × 225,957,296.80
  4. Step 4: Simplify right side
    355,287,728.80x = 120,622,193,640,667,680
  5. Step 5: Solve for x
    x = 120,622,193,640,667,680/355,287,728.80
  6. Step 6: Final answer
    x = 339,505,656.58

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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.