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Finding the Fourth Proportional to 397,205.56, 548,120.64 and 215,916.58

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Solution

The fourth proportional to 397,205.56, 548,120.64 and 215,916.58 is: 297,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,205.56 : 548,120.64 = 215,916.58 : x
  2. Step 2: Convert to fraction form
    397,205.56/548,120.64 = 215,916.58/x
  3. Step 3: Cross multiply
    397,205.56x = 548,120.64 × 215,916.58
  4. Step 4: Simplify right side
    397,205.56x = 118,348,334,016.21
  5. Step 5: Solve for x
    x = 118,348,334,016.21/397,205.56
  6. Step 6: Final answer
    x = 297,952.36

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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.