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Finding the Fourth Proportional to 571,005.11, 856,508.29 and 171,645.85

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Solution

The fourth proportional to 571,005.11, 856,508.29 and 171,645.85 is: 257,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,005.11 : 856,508.29 = 171,645.85 : x
  2. Step 2: Convert to fraction form
    571,005.11/856,508.29 = 171,645.85/x
  3. Step 3: Cross multiply
    571,005.11x = 856,508.29 × 171,645.85
  4. Step 4: Simplify right side
    571,005.11x = 147,016,093,469.10
  5. Step 5: Solve for x
    x = 147,016,093,469.10/571,005.11
  6. Step 6: Final answer
    x = 257,468.96

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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.