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Finding the Fourth Proportional to 311,358.75, 467,038.58 and 86,719.83

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Solution

The fourth proportional to 311,358.75, 467,038.58 and 86,719.83 is: 130,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,358.75 : 467,038.58 = 86,719.83 : x
  2. Step 2: Convert to fraction form
    311,358.75/467,038.58 = 86,719.83/x
  3. Step 3: Cross multiply
    311,358.75x = 467,038.58 × 86,719.83
  4. Step 4: Simplify right side
    311,358.75x = 40,501,504,076.05
  5. Step 5: Solve for x
    x = 40,501,504,076.05/311,358.75
  6. Step 6: Final answer
    x = 130,079.87

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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.