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Finding the Fourth Proportional to 311,513.40, 467,263.38 and 86,867.87

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Solution

The fourth proportional to 311,513.40, 467,263.38 and 86,867.87 is: 130,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,513.40 : 467,263.38 = 86,867.87 : x
  2. Step 2: Convert to fraction form
    311,513.40/467,263.38 = 86,867.87/x
  3. Step 3: Cross multiply
    311,513.40x = 467,263.38 × 86,867.87
  4. Step 4: Simplify right side
    311,513.40x = 40,590,172,213.28
  5. Step 5: Solve for x
    x = 40,590,172,213.28/311,513.40
  6. Step 6: Final answer
    x = 130,299.92

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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.