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Finding the Fourth Proportional to 380,438.64, 570,662.82 and 180,778.50

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Solution

The fourth proportional to 380,438.64, 570,662.82 and 180,778.50 is: 271,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,438.64 : 570,662.82 = 180,778.50 : x
  2. Step 2: Convert to fraction form
    380,438.64/570,662.82 = 180,778.50/x
  3. Step 3: Cross multiply
    380,438.64x = 570,662.82 × 180,778.50
  4. Step 4: Simplify right side
    380,438.64x = 103,163,568,605.37
  5. Step 5: Solve for x
    x = 103,163,568,605.37/380,438.64
  6. Step 6: Final answer
    x = 271,170.06

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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.