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Finding the Fourth Proportional to 409,133.52, 613,796.88 and 128,650.80

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Solution

The fourth proportional to 409,133.52, 613,796.88 and 128,650.80 is: 193,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,133.52 : 613,796.88 = 128,650.80 : x
  2. Step 2: Convert to fraction form
    409,133.52/613,796.88 = 128,650.80/x
  3. Step 3: Cross multiply
    409,133.52x = 613,796.88 × 128,650.80
  4. Step 4: Simplify right side
    409,133.52x = 78,965,459,649.50
  5. Step 5: Solve for x
    x = 78,965,459,649.50/409,133.52
  6. Step 6: Final answer
    x = 193,006.58

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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.