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Finding the Fourth Proportional to 503,563.94, 755,353.86 and 280,343.23

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Solution

The fourth proportional to 503,563.94, 755,353.86 and 280,343.23 is: 420,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,563.94 : 755,353.86 = 280,343.23 : x
  2. Step 2: Convert to fraction form
    503,563.94/755,353.86 = 280,343.23/x
  3. Step 3: Cross multiply
    503,563.94x = 755,353.86 × 280,343.23
  4. Step 4: Simplify right side
    503,563.94x = 211,758,337,965.70
  5. Step 5: Solve for x
    x = 211,758,337,965.70/503,563.94
  6. Step 6: Final answer
    x = 420,519.27

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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.