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Finding the Fourth Proportional to 483,099.75, 724,728.81 and 198,713.21

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Solution

The fourth proportional to 483,099.75, 724,728.81 and 198,713.21 is: 298,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,099.75 : 724,728.81 = 198,713.21 : x
  2. Step 2: Convert to fraction form
    483,099.75/724,728.81 = 198,713.21/x
  3. Step 3: Cross multiply
    483,099.75x = 724,728.81 × 198,713.21
  4. Step 4: Simplify right side
    483,099.75x = 144,013,184,590.94
  5. Step 5: Solve for x
    x = 144,013,184,590.94/483,099.75
  6. Step 6: Final answer
    x = 298,102.38

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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.