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Finding the Fourth Proportional to 391,100, 539,724.48 and 212,252

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Solution

The fourth proportional to 391,100, 539,724.48 and 212,252 is: 292,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,100 : 539,724.48 = 212,252 : x
  2. Step 2: Convert to fraction form
    391,100/539,724.48 = 212,252/x
  3. Step 3: Cross multiply
    391,100x = 539,724.48 × 212,252
  4. Step 4: Simplify right side
    391,100x = 114,557,600,328.96
  5. Step 5: Solve for x
    x = 114,557,600,328.96/391,100
  6. Step 6: Final answer
    x = 292,911.28

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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.