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Finding the Fourth Proportional to 409,019.67, 613,560.26 and 109,493.61

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Solution

The fourth proportional to 409,019.67, 613,560.26 and 109,493.61 is: 164,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,019.67 : 613,560.26 = 109,493.61 : x
  2. Step 2: Convert to fraction form
    409,019.67/613,560.26 = 109,493.61/x
  3. Step 3: Cross multiply
    409,019.67x = 613,560.26 × 109,493.61
  4. Step 4: Simplify right side
    409,019.67x = 67,180,927,272.47
  5. Step 5: Solve for x
    x = 67,180,927,272.47/409,019.67
  6. Step 6: Final answer
    x = 164,248.65

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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.