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Finding the Fourth Proportional to 299,149.72, 412,834.40 and 163,185.96

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Solution

The fourth proportional to 299,149.72, 412,834.40 and 163,185.96 is: 225,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149.72 : 412,834.40 = 163,185.96 : x
  2. Step 2: Convert to fraction form
    299,149.72/412,834.40 = 163,185.96/x
  3. Step 3: Cross multiply
    299,149.72x = 412,834.40 × 163,185.96
  4. Step 4: Simplify right side
    299,149.72x = 67,368,777,885.02
  5. Step 5: Solve for x
    x = 67,368,777,885.02/299,149.72
  6. Step 6: Final answer
    x = 225,200.87

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1.5x scale

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.