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Finding the Fourth Proportional to 307,290.48, 423,910.13 and 205,340.97

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Solution

The fourth proportional to 307,290.48, 423,910.13 and 205,340.97 is: 283,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,290.48 : 423,910.13 = 205,340.97 : x
  2. Step 2: Convert to fraction form
    307,290.48/423,910.13 = 205,340.97/x
  3. Step 3: Cross multiply
    307,290.48x = 423,910.13 × 205,340.97
  4. Step 4: Simplify right side
    307,290.48x = 87,046,115,440.69
  5. Step 5: Solve for x
    x = 87,046,115,440.69/307,290.48
  6. Step 6: Final answer
    x = 283,269.81

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1.5x scale

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.