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Finding the Fourth Proportional to 311,358.40, 467,037.90 and 86,719.30

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Solution

The fourth proportional to 311,358.40, 467,037.90 and 86,719.30 is: 130,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,358.40 : 467,037.90 = 86,719.30 : x
  2. Step 2: Convert to fraction form
    311,358.40/467,037.90 = 86,719.30/x
  3. Step 3: Cross multiply
    311,358.40x = 467,037.90 × 86,719.30
  4. Step 4: Simplify right side
    311,358.40x = 40,501,199,761.47
  5. Step 5: Solve for x
    x = 40,501,199,761.47/311,358.40
  6. Step 6: Final answer
    x = 130,079.03

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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.