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Finding the Fourth Proportional to 307,406, 424,226.76 and 173,270

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Solution

The fourth proportional to 307,406, 424,226.76 and 173,270 is: 239,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,406 : 424,226.76 = 173,270 : x
  2. Step 2: Convert to fraction form
    307,406/424,226.76 = 173,270/x
  3. Step 3: Cross multiply
    307,406x = 424,226.76 × 173,270
  4. Step 4: Simplify right side
    307,406x = 73,505,770,705.20
  5. Step 5: Solve for x
    x = 73,505,770,705.20/307,406
  6. Step 6: Final answer
    x = 239,116.25

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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.