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Finding the Fourth Proportional to 428,229.69, 590,689.42 and 275,466.83

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Solution

The fourth proportional to 428,229.69, 590,689.42 and 275,466.83 is: 379,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,229.69 : 590,689.42 = 275,466.83 : x
  2. Step 2: Convert to fraction form
    428,229.69/590,689.42 = 275,466.83/x
  3. Step 3: Cross multiply
    428,229.69x = 590,689.42 × 275,466.83
  4. Step 4: Simplify right side
    428,229.69x = 162,715,342,830.00
  5. Step 5: Solve for x
    x = 162,715,342,830.00/428,229.69
  6. Step 6: Final answer
    x = 379,972.12

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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.