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Finding the Fourth Proportional to 380,379.50, 570,624.87 and 114,161.06

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Solution

The fourth proportional to 380,379.50, 570,624.87 and 114,161.06 is: 171,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,379.50 : 570,624.87 = 114,161.06 : x
  2. Step 2: Convert to fraction form
    380,379.50/570,624.87 = 114,161.06/x
  3. Step 3: Cross multiply
    380,379.50x = 570,624.87 × 114,161.06
  4. Step 4: Simplify right side
    380,379.50x = 65,143,137,168.44
  5. Step 5: Solve for x
    x = 65,143,137,168.44/380,379.50
  6. Step 6: Final answer
    x = 171,258.28

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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.