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Finding the Fourth Proportional to 254,604.35, 381,324.74 and 121,577.78

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Solution

The fourth proportional to 254,604.35, 381,324.74 and 121,577.78 is: 182,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,604.35 : 381,324.74 = 121,577.78 : x
  2. Step 2: Convert to fraction form
    254,604.35/381,324.74 = 121,577.78/x
  3. Step 3: Cross multiply
    254,604.35x = 381,324.74 × 121,577.78
  4. Step 4: Simplify right side
    254,604.35x = 46,360,612,833.76
  5. Step 5: Solve for x
    x = 46,360,612,833.76/254,604.35
  6. Step 6: Final answer
    x = 182,088.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.