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Finding the Fourth Proportional to 428,636.01, 642,989.09 and 215,294.23

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Solution

The fourth proportional to 428,636.01, 642,989.09 and 215,294.23 is: 322,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,636.01 : 642,989.09 = 215,294.23 : x
  2. Step 2: Convert to fraction form
    428,636.01/642,989.09 = 215,294.23/x
  3. Step 3: Cross multiply
    428,636.01x = 642,989.09 × 215,294.23
  4. Step 4: Simplify right side
    428,636.01x = 138,431,841,029.95
  5. Step 5: Solve for x
    x = 138,431,841,029.95/428,636.01
  6. Step 6: Final answer
    x = 322,958.96

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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.