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Finding the Fourth Proportional to 409,141.14, 614,090.12 and 206,879.86

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Solution

The fourth proportional to 409,141.14, 614,090.12 and 206,879.86 is: 310,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,141.14 : 614,090.12 = 206,879.86 : x
  2. Step 2: Convert to fraction form
    409,141.14/614,090.12 = 206,879.86/x
  3. Step 3: Cross multiply
    409,141.14x = 614,090.12 × 206,879.86
  4. Step 4: Simplify right side
    409,141.14x = 127,042,880,320.28
  5. Step 5: Solve for x
    x = 127,042,880,320.28/409,141.14
  6. Step 6: Final answer
    x = 310,511.14

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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.