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Finding the Fourth Proportional to 427,280, 640,928.64 and 131,792

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Solution

The fourth proportional to 427,280, 640,928.64 and 131,792 is: 197,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,280 : 640,928.64 = 131,792 : x
  2. Step 2: Convert to fraction form
    427,280/640,928.64 = 131,792/x
  3. Step 3: Cross multiply
    427,280x = 640,928.64 × 131,792
  4. Step 4: Simplify right side
    427,280x = 84,469,267,322.88
  5. Step 5: Solve for x
    x = 84,469,267,322.88/427,280
  6. Step 6: Final answer
    x = 197,690.66

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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.