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Finding the Fourth Proportional to 380,499.08, 570,581.12 and 114,197.30

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Solution

The fourth proportional to 380,499.08, 570,581.12 and 114,197.30 is: 171,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,499.08 : 570,581.12 = 114,197.30 : x
  2. Step 2: Convert to fraction form
    380,499.08/570,581.12 = 114,197.30/x
  3. Step 3: Cross multiply
    380,499.08x = 570,581.12 × 114,197.30
  4. Step 4: Simplify right side
    380,499.08x = 65,158,820,767.56
  5. Step 5: Solve for x
    x = 65,158,820,767.56/380,499.08
  6. Step 6: Final answer
    x = 171,245.67

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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.