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Finding the Fourth Proportional to 384,139.56, 530,142.60 and 214,399.20

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Solution

The fourth proportional to 384,139.56, 530,142.60 and 214,399.20 is: 295,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,139.56 : 530,142.60 = 214,399.20 : x
  2. Step 2: Convert to fraction form
    384,139.56/530,142.60 = 214,399.20/x
  3. Step 3: Cross multiply
    384,139.56x = 530,142.60 × 214,399.20
  4. Step 4: Simplify right side
    384,139.56x = 113,662,149,325.92
  5. Step 5: Solve for x
    x = 113,662,149,325.92/384,139.56
  6. Step 6: Final answer
    x = 295,887.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.