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Finding the Fourth Proportional to 309,871.02, 427,462.61 and 206,682.87

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Solution

The fourth proportional to 309,871.02, 427,462.61 and 206,682.87 is: 285,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,871.02 : 427,462.61 = 206,682.87 : x
  2. Step 2: Convert to fraction form
    309,871.02/427,462.61 = 206,682.87/x
  3. Step 3: Cross multiply
    309,871.02x = 427,462.61 × 206,682.87
  4. Step 4: Simplify right side
    309,871.02x = 88,349,198,019.08
  5. Step 5: Solve for x
    x = 88,349,198,019.08/309,871.02
  6. Step 6: Final answer
    x = 285,116.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.