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Finding the Fourth Proportional to 231,806.40, 347,709.60 and 201,393.60

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Solution

The fourth proportional to 231,806.40, 347,709.60 and 201,393.60 is: 302,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.40 : 347,709.60 = 201,393.60 : x
  2. Step 2: Convert to fraction form
    231,806.40/347,709.60 = 201,393.60/x
  3. Step 3: Cross multiply
    231,806.40x = 347,709.60 × 201,393.60
  4. Step 4: Simplify right side
    231,806.40x = 70,026,488,098.56
  5. Step 5: Solve for x
    x = 70,026,488,098.56/231,806.40
  6. Step 6: Final answer
    x = 302,090.40

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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.