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Finding the Fourth Proportional to 311,516.76, 467,268.40 and 86,871.21

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Solution

The fourth proportional to 311,516.76, 467,268.40 and 86,871.21 is: 130,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,516.76 : 467,268.40 = 86,871.21 : x
  2. Step 2: Convert to fraction form
    311,516.76/467,268.40 = 86,871.21/x
  3. Step 3: Cross multiply
    311,516.76x = 467,268.40 × 86,871.21
  4. Step 4: Simplify right side
    311,516.76x = 40,592,171,302.76
  5. Step 5: Solve for x
    x = 40,592,171,302.76/311,516.76
  6. Step 6: Final answer
    x = 130,304.94

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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.