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Finding the Fourth Proportional to 380,057.30, 569,729.55 and 143,558.90

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Solution

The fourth proportional to 380,057.30, 569,729.55 and 143,558.90 is: 215,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,057.30 : 569,729.55 = 143,558.90 : x
  2. Step 2: Convert to fraction form
    380,057.30/569,729.55 = 143,558.90/x
  3. Step 3: Cross multiply
    380,057.30x = 569,729.55 × 143,558.90
  4. Step 4: Simplify right side
    380,057.30x = 81,789,747,495.50
  5. Step 5: Solve for x
    x = 81,789,747,495.50/380,057.30
  6. Step 6: Final answer
    x = 215,203.73

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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.