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Finding the Fourth Proportional to 397,472.80, 595,820.40 and 197,629.60

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Solution

The fourth proportional to 397,472.80, 595,820.40 and 197,629.60 is: 296,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,472.80 : 595,820.40 = 197,629.60 : x
  2. Step 2: Convert to fraction form
    397,472.80/595,820.40 = 197,629.60/x
  3. Step 3: Cross multiply
    397,472.80x = 595,820.40 × 197,629.60
  4. Step 4: Simplify right side
    397,472.80x = 117,751,747,323.84
  5. Step 5: Solve for x
    x = 117,751,747,323.84/397,472.80
  6. Step 6: Final answer
    x = 296,251.08

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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.