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Finding the Fourth Proportional to 311,841.60, 467,773.20 and 98,611.80

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Solution

The fourth proportional to 311,841.60, 467,773.20 and 98,611.80 is: 147,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,841.60 : 467,773.20 = 98,611.80 : x
  2. Step 2: Convert to fraction form
    311,841.60/467,773.20 = 98,611.80/x
  3. Step 3: Cross multiply
    311,841.60x = 467,773.20 × 98,611.80
  4. Step 4: Simplify right side
    311,841.60x = 46,127,957,243.76
  5. Step 5: Solve for x
    x = 46,127,957,243.76/311,841.60
  6. Step 6: Final answer
    x = 147,921.12

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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.