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Finding the Fourth Proportional to 427,216.55, 640,447.69 and 161,163.90

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Solution

The fourth proportional to 427,216.55, 640,447.69 and 161,163.90 is: 241,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,216.55 : 640,447.69 = 161,163.90 : x
  2. Step 2: Convert to fraction form
    427,216.55/640,447.69 = 161,163.90/x
  3. Step 3: Cross multiply
    427,216.55x = 640,447.69 × 161,163.90
  4. Step 4: Simplify right side
    427,216.55x = 103,217,047,466.39
  5. Step 5: Solve for x
    x = 103,217,047,466.39/427,216.55
  6. Step 6: Final answer
    x = 241,603.58

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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.