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Finding the Fourth Proportional to 275,400, 380,688.66 and 229,813.20

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Solution

The fourth proportional to 275,400, 380,688.66 and 229,813.20 is: 317,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,400 : 380,688.66 = 229,813.20 : x
  2. Step 2: Convert to fraction form
    275,400/380,688.66 = 229,813.20/x
  3. Step 3: Cross multiply
    275,400x = 380,688.66 × 229,813.20
  4. Step 4: Simplify right side
    275,400x = 87,487,279,158.31
  5. Step 5: Solve for x
    x = 87,487,279,158.31/275,400
  6. Step 6: Final answer
    x = 317,673.49

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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.