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Finding the Fourth Proportional to 509,507.21, 764,260.83 and 228,696.41

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Solution

The fourth proportional to 509,507.21, 764,260.83 and 228,696.41 is: 343,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,507.21 : 764,260.83 = 228,696.41 : x
  2. Step 2: Convert to fraction form
    509,507.21/764,260.83 = 228,696.41/x
  3. Step 3: Cross multiply
    509,507.21x = 764,260.83 × 228,696.41
  4. Step 4: Simplify right side
    509,507.21x = 174,783,704,303.32
  5. Step 5: Solve for x
    x = 174,783,704,303.32/509,507.21
  6. Step 6: Final answer
    x = 343,044.62

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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.