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Finding the Fourth Proportional to 397,159.64, 548,083.98 and 215,872

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Solution

The fourth proportional to 397,159.64, 548,083.98 and 215,872 is: 297,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,159.64 : 548,083.98 = 215,872 : x
  2. Step 2: Convert to fraction form
    397,159.64/548,083.98 = 215,872/x
  3. Step 3: Cross multiply
    397,159.64x = 548,083.98 × 215,872
  4. Step 4: Simplify right side
    397,159.64x = 118,315,984,930.56
  5. Step 5: Solve for x
    x = 118,315,984,930.56/397,159.64
  6. Step 6: Final answer
    x = 297,905.36

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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.