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Finding the Fourth Proportional to 409,125.04, 613,745.88 and 198,619

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Solution

The fourth proportional to 409,125.04, 613,745.88 and 198,619 is: 297,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,125.04 : 613,745.88 = 198,619 : x
  2. Step 2: Convert to fraction form
    409,125.04/613,745.88 = 198,619/x
  3. Step 3: Cross multiply
    409,125.04x = 613,745.88 × 198,619
  4. Step 4: Simplify right side
    409,125.04x = 121,901,592,939.72
  5. Step 5: Solve for x
    x = 121,901,592,939.72/409,125.04
  6. Step 6: Final answer
    x = 297,956.81

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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.