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Finding the Fourth Proportional to 471,842.18, 708,067.74 and 172,297.66

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Solution

The fourth proportional to 471,842.18, 708,067.74 and 172,297.66 is: 258,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,842.18 : 708,067.74 = 172,297.66 : x
  2. Step 2: Convert to fraction form
    471,842.18/708,067.74 = 172,297.66/x
  3. Step 3: Cross multiply
    471,842.18x = 708,067.74 × 172,297.66
  4. Step 4: Simplify right side
    471,842.18x = 121,998,414,723.49
  5. Step 5: Solve for x
    x = 121,998,414,723.49/471,842.18
  6. Step 6: Final answer
    x = 258,557.67

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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.