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Finding the Fourth Proportional to 331,811.40, 497,717.10 and 191,843.40

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Solution

The fourth proportional to 331,811.40, 497,717.10 and 191,843.40 is: 287,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,811.40 : 497,717.10 = 191,843.40 : x
  2. Step 2: Convert to fraction form
    331,811.40/497,717.10 = 191,843.40/x
  3. Step 3: Cross multiply
    331,811.40x = 497,717.10 × 191,843.40
  4. Step 4: Simplify right side
    331,811.40x = 95,483,740,702.14
  5. Step 5: Solve for x
    x = 95,483,740,702.14/331,811.40
  6. Step 6: Final answer
    x = 287,765.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.