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Finding the Fourth Proportional to 311,316.77, 466,975.49 and 86,677.69

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Solution

The fourth proportional to 311,316.77, 466,975.49 and 86,677.69 is: 130,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,316.77 : 466,975.49 = 86,677.69 : x
  2. Step 2: Convert to fraction form
    311,316.77/466,975.49 = 86,677.69/x
  3. Step 3: Cross multiply
    311,316.77x = 466,975.49 × 86,677.69
  4. Step 4: Simplify right side
    311,316.77x = 40,476,353,991.55
  5. Step 5: Solve for x
    x = 40,476,353,991.55/311,316.77
  6. Step 6: Final answer
    x = 130,016.62

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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.