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Finding the Fourth Proportional to 509,469.94, 764,315.34 and 154,511.20

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Solution

The fourth proportional to 509,469.94, 764,315.34 and 154,511.20 is: 231,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,469.94 : 764,315.34 = 154,511.20 : x
  2. Step 2: Convert to fraction form
    509,469.94/764,315.34 = 154,511.20/x
  3. Step 3: Cross multiply
    509,469.94x = 764,315.34 × 154,511.20
  4. Step 4: Simplify right side
    509,469.94x = 118,095,280,361.81
  5. Step 5: Solve for x
    x = 118,095,280,361.81/509,469.94
  6. Step 6: Final answer
    x = 231,800.29

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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.