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Finding the Fourth Proportional to 202,423.20, 303,634.80 and 199,312.80

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Solution

The fourth proportional to 202,423.20, 303,634.80 and 199,312.80 is: 298,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423.20 : 303,634.80 = 199,312.80 : x
  2. Step 2: Convert to fraction form
    202,423.20/303,634.80 = 199,312.80/x
  3. Step 3: Cross multiply
    202,423.20x = 303,634.80 × 199,312.80
  4. Step 4: Simplify right side
    202,423.20x = 60,518,302,165.44
  5. Step 5: Solve for x
    x = 60,518,302,165.44/202,423.20
  6. Step 6: Final answer
    x = 298,969.20

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1.5x scale

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.