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Finding the Fourth Proportional to 299,199.38, 412,893.17 and 170,137.86

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Solution

The fourth proportional to 299,199.38, 412,893.17 and 170,137.86 is: 234,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199.38 : 412,893.17 = 170,137.86 : x
  2. Step 2: Convert to fraction form
    299,199.38/412,893.17 = 170,137.86/x
  3. Step 3: Cross multiply
    299,199.38x = 412,893.17 × 170,137.86
  4. Step 4: Simplify right side
    299,199.38x = 70,248,760,777.76
  5. Step 5: Solve for x
    x = 70,248,760,777.76/299,199.38
  6. Step 6: Final answer
    x = 234,789.13

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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.