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Finding the Fourth Proportional to 534,506.50, 737,630.85 and 305,059.20

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Solution

The fourth proportional to 534,506.50, 737,630.85 and 305,059.20 is: 420,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,506.50 : 737,630.85 = 305,059.20 : x
  2. Step 2: Convert to fraction form
    534,506.50/737,630.85 = 305,059.20/x
  3. Step 3: Cross multiply
    534,506.50x = 737,630.85 × 305,059.20
  4. Step 4: Simplify right side
    534,506.50x = 225,021,073,308.17
  5. Step 5: Solve for x
    x = 225,021,073,308.17/534,506.50
  6. Step 6: Final answer
    x = 420,988.47

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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.