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Finding the Fourth Proportional to 315,098.96, 471,538.20 and 196,826

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Solution

The fourth proportional to 315,098.96, 471,538.20 and 196,826 is: 294,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,098.96 : 471,538.20 = 196,826 : x
  2. Step 2: Convert to fraction form
    315,098.96/471,538.20 = 196,826/x
  3. Step 3: Cross multiply
    315,098.96x = 471,538.20 × 196,826
  4. Step 4: Simplify right side
    315,098.96x = 92,810,977,753.20
  5. Step 5: Solve for x
    x = 92,810,977,753.20/315,098.96
  6. Step 6: Final answer
    x = 294,545.49

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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.