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Finding the Fourth Proportional to 223,277.46, 308,046.69 and 138,363.54

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Solution

The fourth proportional to 223,277.46, 308,046.69 and 138,363.54 is: 190,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,277.46 : 308,046.69 = 138,363.54 : x
  2. Step 2: Convert to fraction form
    223,277.46/308,046.69 = 138,363.54/x
  3. Step 3: Cross multiply
    223,277.46x = 308,046.69 × 138,363.54
  4. Step 4: Simplify right side
    223,277.46x = 42,622,430,513.68
  5. Step 5: Solve for x
    x = 42,622,430,513.68/223,277.46
  6. Step 6: Final answer
    x = 190,894.46

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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.