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Finding the Fourth Proportional to 275,570,857.20, 413,356,285.80 and 189,477,415.20

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Solution

The fourth proportional to 275,570,857.20, 413,356,285.80 and 189,477,415.20 is: 284,216,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570,857.20 : 413,356,285.80 = 189,477,415.20 : x
  2. Step 2: Convert to fraction form
    275,570,857.20/413,356,285.80 = 189,477,415.20/x
  3. Step 3: Cross multiply
    275,570,857.20x = 413,356,285.80 × 189,477,415.20
  4. Step 4: Simplify right side
    275,570,857.20x = 78,321,680,590,056,464
  5. Step 5: Solve for x
    x = 78,321,680,590,056,464/275,570,857.20
  6. Step 6: Final answer
    x = 284,216,122.80

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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.