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Finding the Fourth Proportional to 255,415.12, 383,198.52 and 130,843.60

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Solution

The fourth proportional to 255,415.12, 383,198.52 and 130,843.60 is: 196,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,415.12 : 383,198.52 = 130,843.60 : x
  2. Step 2: Convert to fraction form
    255,415.12/383,198.52 = 130,843.60/x
  3. Step 3: Cross multiply
    255,415.12x = 383,198.52 × 130,843.60
  4. Step 4: Simplify right side
    255,415.12x = 50,139,073,871.47
  5. Step 5: Solve for x
    x = 50,139,073,871.47/255,415.12
  6. Step 6: Final answer
    x = 196,304.25

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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.