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Finding the Fourth Proportional to 254,455.10, 381,101.28 and 121,428.78

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Solution

The fourth proportional to 254,455.10, 381,101.28 and 121,428.78 is: 181,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,455.10 : 381,101.28 = 121,428.78 : x
  2. Step 2: Convert to fraction form
    254,455.10/381,101.28 = 121,428.78/x
  3. Step 3: Cross multiply
    254,455.10x = 381,101.28 × 121,428.78
  4. Step 4: Simplify right side
    254,455.10x = 46,276,663,015.72
  5. Step 5: Solve for x
    x = 46,276,663,015.72/254,455.10
  6. Step 6: Final answer
    x = 181,865.73

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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.