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Finding the Fourth Proportional to 427,912.64, 641,876.25 and 161,798.48

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Solution

The fourth proportional to 427,912.64, 641,876.25 and 161,798.48 is: 242,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,912.64 : 641,876.25 = 161,798.48 : x
  2. Step 2: Convert to fraction form
    427,912.64/641,876.25 = 161,798.48/x
  3. Step 3: Cross multiply
    427,912.64x = 641,876.25 × 161,798.48
  4. Step 4: Simplify right side
    427,912.64x = 103,854,598,388.72
  5. Step 5: Solve for x
    x = 103,854,598,388.72/427,912.64
  6. Step 6: Final answer
    x = 242,700.47

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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.