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Finding the Fourth Proportional to 341,720.20, 512,726.10 and 164,135.80

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Solution

The fourth proportional to 341,720.20, 512,726.10 and 164,135.80 is: 246,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,720.20 : 512,726.10 = 164,135.80 : x
  2. Step 2: Convert to fraction form
    341,720.20/512,726.10 = 164,135.80/x
  3. Step 3: Cross multiply
    341,720.20x = 512,726.10 × 164,135.80
  4. Step 4: Simplify right side
    341,720.20x = 84,156,708,604.38
  5. Step 5: Solve for x
    x = 84,156,708,604.38/341,720.20
  6. Step 6: Final answer
    x = 246,273.73

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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.