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Finding the Fourth Proportional to 509,908.58, 764,753.52 and 210,311.46

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Solution

The fourth proportional to 509,908.58, 764,753.52 and 210,311.46 is: 315,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,908.58 : 764,753.52 = 210,311.46 : x
  2. Step 2: Convert to fraction form
    509,908.58/764,753.52 = 210,311.46/x
  3. Step 3: Cross multiply
    509,908.58x = 764,753.52 × 210,311.46
  4. Step 4: Simplify right side
    509,908.58x = 160,836,429,331.34
  5. Step 5: Solve for x
    x = 160,836,429,331.34/509,908.58
  6. Step 6: Final answer
    x = 315,422.09

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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.