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Finding the Fourth Proportional to 509,636.46, 764,546.96 and 209,950.50

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Solution

The fourth proportional to 509,636.46, 764,546.96 and 209,950.50 is: 314,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,636.46 : 764,546.96 = 209,950.50 : x
  2. Step 2: Convert to fraction form
    509,636.46/764,546.96 = 209,950.50/x
  3. Step 3: Cross multiply
    509,636.46x = 764,546.96 × 209,950.50
  4. Step 4: Simplify right side
    509,636.46x = 160,517,017,050.36
  5. Step 5: Solve for x
    x = 160,517,017,050.36/509,636.46
  6. Step 6: Final answer
    x = 314,963.76

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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.