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Finding the Fourth Proportional to 311,543.87, 467,394.71 and 86,904.27

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Solution

The fourth proportional to 311,543.87, 467,394.71 and 86,904.27 is: 130,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,543.87 : 467,394.71 = 86,904.27 : x
  2. Step 2: Convert to fraction form
    311,543.87/467,394.71 = 86,904.27/x
  3. Step 3: Cross multiply
    311,543.87x = 467,394.71 × 86,904.27
  4. Step 4: Simplify right side
    311,543.87x = 40,618,595,639.89
  5. Step 5: Solve for x
    x = 40,618,595,639.89/311,543.87
  6. Step 6: Final answer
    x = 130,378.42

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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.