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Finding the Fourth Proportional to 509,505.71, 764,258.58 and 228,694.91

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Solution

The fourth proportional to 509,505.71, 764,258.58 and 228,694.91 is: 343,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,505.71 : 764,258.58 = 228,694.91 : x
  2. Step 2: Convert to fraction form
    509,505.71/764,258.58 = 228,694.91/x
  3. Step 3: Cross multiply
    509,505.71x = 764,258.58 × 228,694.91
  4. Step 4: Simplify right side
    509,505.71x = 174,782,043,348.54
  5. Step 5: Solve for x
    x = 174,782,043,348.54/509,505.71
  6. Step 6: Final answer
    x = 343,042.37

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1.5x scale

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.