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Finding the Fourth Proportional to 311,721.83, 467,514.88 and 84,012.14

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Solution

The fourth proportional to 311,721.83, 467,514.88 and 84,012.14 is: 125,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,721.83 : 467,514.88 = 84,012.14 : x
  2. Step 2: Convert to fraction form
    311,721.83/467,514.88 = 84,012.14/x
  3. Step 3: Cross multiply
    311,721.83x = 467,514.88 × 84,012.14
  4. Step 4: Simplify right side
    311,721.83x = 39,276,924,115.91
  5. Step 5: Solve for x
    x = 39,276,924,115.91/311,721.83
  6. Step 6: Final answer
    x = 125,999.91

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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.