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Finding the Fourth Proportional to 219,783.29, 303,284.70 and 122,974.29

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Solution

The fourth proportional to 219,783.29, 303,284.70 and 122,974.29 is: 169,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,783.29 : 303,284.70 = 122,974.29 : x
  2. Step 2: Convert to fraction form
    219,783.29/303,284.70 = 122,974.29/x
  3. Step 3: Cross multiply
    219,783.29x = 303,284.70 × 122,974.29
  4. Step 4: Simplify right side
    219,783.29x = 37,296,220,650.36
  5. Step 5: Solve for x
    x = 37,296,220,650.36/219,783.29
  6. Step 6: Final answer
    x = 169,695.44

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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.