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Finding the Fourth Proportional to 254,246.10, 381,745.80 and 142,150.20

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Solution

The fourth proportional to 254,246.10, 381,745.80 and 142,150.20 is: 213,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,246.10 : 381,745.80 = 142,150.20 : x
  2. Step 2: Convert to fraction form
    254,246.10/381,745.80 = 142,150.20/x
  3. Step 3: Cross multiply
    254,246.10x = 381,745.80 × 142,150.20
  4. Step 4: Simplify right side
    254,246.10x = 54,265,241,819.16
  5. Step 5: Solve for x
    x = 54,265,241,819.16/254,246.10
  6. Step 6: Final answer
    x = 213,435.89

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1.5x scale

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.