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Finding the Fourth Proportional to 409,076.22, 613,711.26 and 128,593.74

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Solution

The fourth proportional to 409,076.22, 613,711.26 and 128,593.74 is: 192,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,076.22 : 613,711.26 = 128,593.74 : x
  2. Step 2: Convert to fraction form
    409,076.22/613,711.26 = 128,593.74/x
  3. Step 3: Cross multiply
    409,076.22x = 613,711.26 × 128,593.74
  4. Step 4: Simplify right side
    409,076.22x = 78,919,426,203.51
  5. Step 5: Solve for x
    x = 78,919,426,203.51/409,076.22
  6. Step 6: Final answer
    x = 192,921.08

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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.