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Finding the Fourth Proportional to 380,673.12, 570,965.52 and 100,212.24

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Solution

The fourth proportional to 380,673.12, 570,965.52 and 100,212.24 is: 150,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,673.12 : 570,965.52 = 100,212.24 : x
  2. Step 2: Convert to fraction form
    380,673.12/570,965.52 = 100,212.24/x
  3. Step 3: Cross multiply
    380,673.12x = 570,965.52 × 100,212.24
  4. Step 4: Simplify right side
    380,673.12x = 57,217,733,721.96
  5. Step 5: Solve for x
    x = 57,217,733,721.96/380,673.12
  6. Step 6: Final answer
    x = 150,306.73

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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.