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Finding the Fourth Proportional to 291,025,477.80, 436,538,216.70 and 137,970,469.80

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Solution

The fourth proportional to 291,025,477.80, 436,538,216.70 and 137,970,469.80 is: 206,955,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,025,477.80 : 436,538,216.70 = 137,970,469.80 : x
  2. Step 2: Convert to fraction form
    291,025,477.80/436,538,216.70 = 137,970,469.80/x
  3. Step 3: Cross multiply
    291,025,477.80x = 436,538,216.70 × 137,970,469.80
  4. Step 4: Simplify right side
    291,025,477.80x = 60,229,382,843,753,208
  5. Step 5: Solve for x
    x = 60,229,382,843,753,208/291,025,477.80
  6. Step 6: Final answer
    x = 206,955,704.70

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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.