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Finding the Fourth Proportional to 201,638.70, 302,458.05 and 192,781.35

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Solution

The fourth proportional to 201,638.70, 302,458.05 and 192,781.35 is: 289,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.70 : 302,458.05 = 192,781.35 : x
  2. Step 2: Convert to fraction form
    201,638.70/302,458.05 = 192,781.35/x
  3. Step 3: Cross multiply
    201,638.70x = 302,458.05 × 192,781.35
  4. Step 4: Simplify right side
    201,638.70x = 58,308,271,197.37
  5. Step 5: Solve for x
    x = 58,308,271,197.37/201,638.70
  6. Step 6: Final answer
    x = 289,172.03

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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.