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Finding the Fourth Proportional to 509,450.64, 764,050.92 and 185,185.68

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Solution

The fourth proportional to 509,450.64, 764,050.92 and 185,185.68 is: 277,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,450.64 : 764,050.92 = 185,185.68 : x
  2. Step 2: Convert to fraction form
    509,450.64/764,050.92 = 185,185.68/x
  3. Step 3: Cross multiply
    509,450.64x = 764,050.92 × 185,185.68
  4. Step 4: Simplify right side
    509,450.64x = 141,491,289,174.83
  5. Step 5: Solve for x
    x = 141,491,289,174.83/509,450.64
  6. Step 6: Final answer
    x = 277,733.07

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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.