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Finding the Fourth Proportional to 309,511.92, 464,194 and 159,675.12

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Solution

The fourth proportional to 309,511.92, 464,194 and 159,675.12 is: 239,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,511.92 : 464,194 = 159,675.12 : x
  2. Step 2: Convert to fraction form
    309,511.92/464,194 = 159,675.12/x
  3. Step 3: Cross multiply
    309,511.92x = 464,194 × 159,675.12
  4. Step 4: Simplify right side
    309,511.92x = 74,120,232,653.28
  5. Step 5: Solve for x
    x = 74,120,232,653.28/309,511.92
  6. Step 6: Final answer
    x = 239,474.57

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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.