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Finding the Fourth Proportional to 311,514.25, 467,264.66 and 86,868.70

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Solution

The fourth proportional to 311,514.25, 467,264.66 and 86,868.70 is: 130,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.25 : 467,264.66 = 86,868.70 : x
  2. Step 2: Convert to fraction form
    311,514.25/467,264.66 = 86,868.70/x
  3. Step 3: Cross multiply
    311,514.25x = 467,264.66 × 86,868.70
  4. Step 4: Simplify right side
    311,514.25x = 40,590,673,570.14
  5. Step 5: Solve for x
    x = 40,590,673,570.14/311,514.25
  6. Step 6: Final answer
    x = 130,301.18

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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.