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Finding the Fourth Proportional to 397,160.64, 548,085.36 and 215,873

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Solution

The fourth proportional to 397,160.64, 548,085.36 and 215,873 is: 297,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,160.64 : 548,085.36 = 215,873 : x
  2. Step 2: Convert to fraction form
    397,160.64/548,085.36 = 215,873/x
  3. Step 3: Cross multiply
    397,160.64x = 548,085.36 × 215,873
  4. Step 4: Simplify right side
    397,160.64x = 118,316,830,919.28
  5. Step 5: Solve for x
    x = 118,316,830,919.28/397,160.64
  6. Step 6: Final answer
    x = 297,906.74

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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.