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Finding the Fourth Proportional to 427,402.48, 640,537.44 and 227,292

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Solution

The fourth proportional to 427,402.48, 640,537.44 and 227,292 is: 340,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,402.48 : 640,537.44 = 227,292 : x
  2. Step 2: Convert to fraction form
    427,402.48/640,537.44 = 227,292/x
  3. Step 3: Cross multiply
    427,402.48x = 640,537.44 × 227,292
  4. Step 4: Simplify right side
    427,402.48x = 145,589,035,812.48
  5. Step 5: Solve for x
    x = 145,589,035,812.48/427,402.48
  6. Step 6: Final answer
    x = 340,636.85

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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.