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Finding the Fourth Proportional to 311,913.63, 467,899.89 and 87,274.08

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Solution

The fourth proportional to 311,913.63, 467,899.89 and 87,274.08 is: 130,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,913.63 : 467,899.89 = 87,274.08 : x
  2. Step 2: Convert to fraction form
    311,913.63/467,899.89 = 87,274.08/x
  3. Step 3: Cross multiply
    311,913.63x = 467,899.89 × 87,274.08
  4. Step 4: Simplify right side
    311,913.63x = 40,835,532,431.85
  5. Step 5: Solve for x
    x = 40,835,532,431.85/311,913.63
  6. Step 6: Final answer
    x = 130,919.36

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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.