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Finding the Fourth Proportional to 380,397.56, 524,958.43 and 208,325.01

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Solution

The fourth proportional to 380,397.56, 524,958.43 and 208,325.01 is: 287,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,397.56 : 524,958.43 = 208,325.01 : x
  2. Step 2: Convert to fraction form
    380,397.56/524,958.43 = 208,325.01/x
  3. Step 3: Cross multiply
    380,397.56x = 524,958.43 × 208,325.01
  4. Step 4: Simplify right side
    380,397.56x = 109,361,970,179.33
  5. Step 5: Solve for x
    x = 109,361,970,179.33/380,397.56
  6. Step 6: Final answer
    x = 287,493.88

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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.