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Finding the Fourth Proportional to 202,142.40, 302,630.40 and 196,310.40

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Solution

The fourth proportional to 202,142.40, 302,630.40 and 196,310.40 is: 293,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.40 : 302,630.40 = 196,310.40 : x
  2. Step 2: Convert to fraction form
    202,142.40/302,630.40 = 196,310.40/x
  3. Step 3: Cross multiply
    202,142.40x = 302,630.40 × 196,310.40
  4. Step 4: Simplify right side
    202,142.40x = 59,409,494,876.16
  5. Step 5: Solve for x
    x = 59,409,494,876.16/202,142.40
  6. Step 6: Final answer
    x = 293,899.23

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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.