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Finding the Fourth Proportional to 427,228.94, 640,940.34 and 227,444.06

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Solution

The fourth proportional to 427,228.94, 640,940.34 and 227,444.06 is: 341,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,228.94 : 640,940.34 = 227,444.06 : x
  2. Step 2: Convert to fraction form
    427,228.94/640,940.34 = 227,444.06/x
  3. Step 3: Cross multiply
    427,228.94x = 640,940.34 × 227,444.06
  4. Step 4: Simplify right side
    427,228.94x = 145,778,073,147.38
  5. Step 5: Solve for x
    x = 145,778,073,147.38/427,228.94
  6. Step 6: Final answer
    x = 341,217.69

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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.