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Finding the Fourth Proportional to 309,940.68, 464,856.57 and 85,246.94

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Solution

The fourth proportional to 309,940.68, 464,856.57 and 85,246.94 is: 127,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,940.68 : 464,856.57 = 85,246.94 : x
  2. Step 2: Convert to fraction form
    309,940.68/464,856.57 = 85,246.94/x
  3. Step 3: Cross multiply
    309,940.68x = 464,856.57 × 85,246.94
  4. Step 4: Simplify right side
    309,940.68x = 39,627,597,807.11
  5. Step 5: Solve for x
    x = 39,627,597,807.11/309,940.68
  6. Step 6: Final answer
    x = 127,855.43

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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.