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Finding the Fourth Proportional to 311,511.29, 467,345.75 and 86,871.75

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Solution

The fourth proportional to 311,511.29, 467,345.75 and 86,871.75 is: 130,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,511.29 : 467,345.75 = 86,871.75 : x
  2. Step 2: Convert to fraction form
    311,511.29/467,345.75 = 86,871.75/x
  3. Step 3: Cross multiply
    311,511.29x = 467,345.75 × 86,871.75
  4. Step 4: Simplify right side
    311,511.29x = 40,599,143,374.74
  5. Step 5: Solve for x
    x = 40,599,143,374.74/311,511.29
  6. Step 6: Final answer
    x = 130,329.60

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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.