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Finding the Fourth Proportional to 307,450, 424,281 and 173,314

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Solution

The fourth proportional to 307,450, 424,281 and 173,314 is: 239,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,450 : 424,281 = 173,314 : x
  2. Step 2: Convert to fraction form
    307,450/424,281 = 173,314/x
  3. Step 3: Cross multiply
    307,450x = 424,281 × 173,314
  4. Step 4: Simplify right side
    307,450x = 73,533,837,234
  5. Step 5: Solve for x
    x = 73,533,837,234/307,450
  6. Step 6: Final answer
    x = 239,173.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.