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Finding the Fourth Proportional to 380,119.94, 570,198.84 and 113,855.07

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Solution

The fourth proportional to 380,119.94, 570,198.84 and 113,855.07 is: 170,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,119.94 : 570,198.84 = 113,855.07 : x
  2. Step 2: Convert to fraction form
    380,119.94/570,198.84 = 113,855.07/x
  3. Step 3: Cross multiply
    380,119.94x = 570,198.84 × 113,855.07
  4. Step 4: Simplify right side
    380,119.94x = 64,920,027,986.47
  5. Step 5: Solve for x
    x = 64,920,027,986.47/380,119.94
  6. Step 6: Final answer
    x = 170,788.27

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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.