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Finding the Fourth Proportional to 428,922.93, 642,966 and 204,222.99

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Solution

The fourth proportional to 428,922.93, 642,966 and 204,222.99 is: 306,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,922.93 : 642,966 = 204,222.99 : x
  2. Step 2: Convert to fraction form
    428,922.93/642,966 = 204,222.99/x
  3. Step 3: Cross multiply
    428,922.93x = 642,966 × 204,222.99
  4. Step 4: Simplify right side
    428,922.93x = 131,308,438,988.34
  5. Step 5: Solve for x
    x = 131,308,438,988.34/428,922.93
  6. Step 6: Final answer
    x = 306,135.27

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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.