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Finding the Fourth Proportional to 311,891.56, 467,854.37 and 98,643.56

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Solution

The fourth proportional to 311,891.56, 467,854.37 and 98,643.56 is: 147,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,891.56 : 467,854.37 = 98,643.56 : x
  2. Step 2: Convert to fraction form
    311,891.56/467,854.37 = 98,643.56/x
  3. Step 3: Cross multiply
    311,891.56x = 467,854.37 × 98,643.56
  4. Step 4: Simplify right side
    311,891.56x = 46,150,818,155.78
  5. Step 5: Solve for x
    x = 46,150,818,155.78/311,891.56
  6. Step 6: Final answer
    x = 147,970.72

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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.