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Finding the Fourth Proportional to 311,514.79, 467,272.14 and 74,857.47

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Solution

The fourth proportional to 311,514.79, 467,272.14 and 74,857.47 is: 112,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.79 : 467,272.14 = 74,857.47 : x
  2. Step 2: Convert to fraction form
    311,514.79/467,272.14 = 74,857.47/x
  3. Step 3: Cross multiply
    311,514.79x = 467,272.14 × 74,857.47
  4. Step 4: Simplify right side
    311,514.79x = 34,978,809,827.60
  5. Step 5: Solve for x
    x = 34,978,809,827.60/311,514.79
  6. Step 6: Final answer
    x = 112,286.19

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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.