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Finding the Fourth Proportional to 202,408.40, 303,612.60 and 199,643.60

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Solution

The fourth proportional to 202,408.40, 303,612.60 and 199,643.60 is: 299,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408.40 : 303,612.60 = 199,643.60 : x
  2. Step 2: Convert to fraction form
    202,408.40/303,612.60 = 199,643.60/x
  3. Step 3: Cross multiply
    202,408.40x = 303,612.60 × 199,643.60
  4. Step 4: Simplify right side
    202,408.40x = 60,614,312,469.36
  5. Step 5: Solve for x
    x = 60,614,312,469.36/202,408.40
  6. Step 6: Final answer
    x = 299,465.40

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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.