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Finding the Fourth Proportional to 380,672.12, 570,964 and 100,211.24

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Solution

The fourth proportional to 380,672.12, 570,964 and 100,211.24 is: 150,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,672.12 : 570,964 = 100,211.24 : x
  2. Step 2: Convert to fraction form
    380,672.12/570,964 = 100,211.24/x
  3. Step 3: Cross multiply
    380,672.12x = 570,964 × 100,211.24
  4. Step 4: Simplify right side
    380,672.12x = 57,217,010,435.36
  5. Step 5: Solve for x
    x = 57,217,010,435.36/380,672.12
  6. Step 6: Final answer
    x = 150,305.23

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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.