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Finding the Fourth Proportional to 254,544.66, 381,977.78 and 142,298.51

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Solution

The fourth proportional to 254,544.66, 381,977.78 and 142,298.51 is: 213,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,544.66 : 381,977.78 = 142,298.51 : x
  2. Step 2: Convert to fraction form
    254,544.66/381,977.78 = 142,298.51/x
  3. Step 3: Cross multiply
    254,544.66x = 381,977.78 × 142,298.51
  4. Step 4: Simplify right side
    254,544.66x = 54,354,866,325.73
  5. Step 5: Solve for x
    x = 54,354,866,325.73/254,544.66
  6. Step 6: Final answer
    x = 213,537.64

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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.