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Finding the Fourth Proportional to 397,065.30, 547,948.31 and 215,773.80

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Solution

The fourth proportional to 397,065.30, 547,948.31 and 215,773.80 is: 297,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,065.30 : 547,948.31 = 215,773.80 : x
  2. Step 2: Convert to fraction form
    397,065.30/547,948.31 = 215,773.80/x
  3. Step 3: Cross multiply
    397,065.30x = 547,948.31 × 215,773.80
  4. Step 4: Simplify right side
    397,065.30x = 118,232,887,132.33
  5. Step 5: Solve for x
    x = 118,232,887,132.33/397,065.30
  6. Step 6: Final answer
    x = 297,766.86

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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.