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Finding the Fourth Proportional to 409,117.37, 613,772.60 and 128,634.62

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Solution

The fourth proportional to 409,117.37, 613,772.60 and 128,634.62 is: 192,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,117.37 : 613,772.60 = 128,634.62 : x
  2. Step 2: Convert to fraction form
    409,117.37/613,772.60 = 128,634.62/x
  3. Step 3: Cross multiply
    409,117.37x = 613,772.60 × 128,634.62
  4. Step 4: Simplify right side
    409,117.37x = 78,952,401,455.38
  5. Step 5: Solve for x
    x = 78,952,401,455.38/409,117.37
  6. Step 6: Final answer
    x = 192,982.28

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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.