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Finding the Fourth Proportional to 427,194.18, 640,888.47 and 227,409.30

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Solution

The fourth proportional to 427,194.18, 640,888.47 and 227,409.30 is: 341,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,194.18 : 640,888.47 = 227,409.30 : x
  2. Step 2: Convert to fraction form
    427,194.18/640,888.47 = 227,409.30/x
  3. Step 3: Cross multiply
    427,194.18x = 640,888.47 × 227,409.30
  4. Step 4: Simplify right side
    427,194.18x = 145,743,998,340.77
  5. Step 5: Solve for x
    x = 145,743,998,340.77/427,194.18
  6. Step 6: Final answer
    x = 341,165.69

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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.