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Finding the Fourth Proportional to 391,109, 539,730.42 and 212,261

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Solution

The fourth proportional to 391,109, 539,730.42 and 212,261 is: 292,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,109 : 539,730.42 = 212,261 : x
  2. Step 2: Convert to fraction form
    391,109/539,730.42 = 212,261/x
  3. Step 3: Cross multiply
    391,109x = 539,730.42 × 212,261
  4. Step 4: Simplify right side
    391,109x = 114,563,718,679.62
  5. Step 5: Solve for x
    x = 114,563,718,679.62/391,109
  6. Step 6: Final answer
    x = 292,920.18

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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.