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Finding the Fourth Proportional to 223,274.46, 308,042.55 and 138,360.54

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Solution

The fourth proportional to 223,274.46, 308,042.55 and 138,360.54 is: 190,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,274.46 : 308,042.55 = 138,360.54 : x
  2. Step 2: Convert to fraction form
    223,274.46/308,042.55 = 138,360.54/x
  3. Step 3: Cross multiply
    223,274.46x = 308,042.55 × 138,360.54
  4. Step 4: Simplify right side
    223,274.46x = 42,620,933,560.98
  5. Step 5: Solve for x
    x = 42,620,933,560.98/223,274.46
  6. Step 6: Final answer
    x = 190,890.32

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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.