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Finding the Fourth Proportional to 457,277.52, 685,770.88 and 427,425.42

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Solution

The fourth proportional to 457,277.52, 685,770.88 and 427,425.42 is: 641,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,277.52 : 685,770.88 = 427,425.42 : x
  2. Step 2: Convert to fraction form
    457,277.52/685,770.88 = 427,425.42/x
  3. Step 3: Cross multiply
    457,277.52x = 685,770.88 × 427,425.42
  4. Step 4: Simplify right side
    457,277.52x = 293,115,907,426.45
  5. Step 5: Solve for x
    x = 293,115,907,426.45/457,277.52
  6. Step 6: Final answer
    x = 641,002.23

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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.