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Finding the Fourth Proportional to 341,611.29, 512,140 and 142,081.05

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Solution

The fourth proportional to 341,611.29, 512,140 and 142,081.05 is: 213,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,611.29 : 512,140 = 142,081.05 : x
  2. Step 2: Convert to fraction form
    341,611.29/512,140 = 142,081.05/x
  3. Step 3: Cross multiply
    341,611.29x = 512,140 × 142,081.05
  4. Step 4: Simplify right side
    341,611.29x = 72,765,388,947
  5. Step 5: Solve for x
    x = 72,765,388,947/341,611.29
  6. Step 6: Final answer
    x = 213,006.39

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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.