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Finding the Fourth Proportional to 342,877.20, 514,815.17 and 253,196.64

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Solution

The fourth proportional to 342,877.20, 514,815.17 and 253,196.64 is: 380,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877.20 : 514,815.17 = 253,196.64 : x
  2. Step 2: Convert to fraction form
    342,877.20/514,815.17 = 253,196.64/x
  3. Step 3: Cross multiply
    342,877.20x = 514,815.17 × 253,196.64
  4. Step 4: Simplify right side
    342,877.20x = 130,349,469,999.05
  5. Step 5: Solve for x
    x = 130,349,469,999.05/342,877.20
  6. Step 6: Final answer
    x = 380,163.71

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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.