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Finding the Fourth Proportional to 285,588.21, 427,914.99 and 172,927.20

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Solution

The fourth proportional to 285,588.21, 427,914.99 and 172,927.20 is: 259,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,588.21 : 427,914.99 = 172,927.20 : x
  2. Step 2: Convert to fraction form
    285,588.21/427,914.99 = 172,927.20/x
  3. Step 3: Cross multiply
    285,588.21x = 427,914.99 × 172,927.20
  4. Step 4: Simplify right side
    285,588.21x = 73,998,141,058.73
  5. Step 5: Solve for x
    x = 73,998,141,058.73/285,588.21
  6. Step 6: Final answer
    x = 259,107.83

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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.