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Finding the Fourth Proportional to 311,520.87, 467,281.30 and 98,310.39

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Solution

The fourth proportional to 311,520.87, 467,281.30 and 98,310.39 is: 147,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,520.87 : 467,281.30 = 98,310.39 : x
  2. Step 2: Convert to fraction form
    311,520.87/467,281.30 = 98,310.39/x
  3. Step 3: Cross multiply
    311,520.87x = 467,281.30 × 98,310.39
  4. Step 4: Simplify right side
    311,520.87x = 45,938,606,842.71
  5. Step 5: Solve for x
    x = 45,938,606,842.71/311,520.87
  6. Step 6: Final answer
    x = 147,465.58

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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.