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Finding the Fourth Proportional to 380,506.80, 570,765.76 and 180,847.56

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Solution

The fourth proportional to 380,506.80, 570,765.76 and 180,847.56 is: 271,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,506.80 : 570,765.76 = 180,847.56 : x
  2. Step 2: Convert to fraction form
    380,506.80/570,765.76 = 180,847.56/x
  3. Step 3: Cross multiply
    380,506.80x = 570,765.76 × 180,847.56
  4. Step 4: Simplify right side
    380,506.80x = 103,221,595,027.55
  5. Step 5: Solve for x
    x = 103,221,595,027.55/380,506.80
  6. Step 6: Final answer
    x = 271,273.98

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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.