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Finding the Fourth Proportional to 310,650.30, 428,450.85 and 201,635.46

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Solution

The fourth proportional to 310,650.30, 428,450.85 and 201,635.46 is: 278,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,650.30 : 428,450.85 = 201,635.46 : x
  2. Step 2: Convert to fraction form
    310,650.30/428,450.85 = 201,635.46/x
  3. Step 3: Cross multiply
    310,650.30x = 428,450.85 × 201,635.46
  4. Step 4: Simplify right side
    310,650.30x = 86,390,884,227.14
  5. Step 5: Solve for x
    x = 86,390,884,227.14/310,650.30
  6. Step 6: Final answer
    x = 278,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.