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Finding the Fourth Proportional to 381,066.41, 525,929.24 and 217,757.28

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Solution

The fourth proportional to 381,066.41, 525,929.24 and 217,757.28 is: 300,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,066.41 : 525,929.24 = 217,757.28 : x
  2. Step 2: Convert to fraction form
    381,066.41/525,929.24 = 217,757.28/x
  3. Step 3: Cross multiply
    381,066.41x = 525,929.24 × 217,757.28
  4. Step 4: Simplify right side
    381,066.41x = 114,524,921,319.26
  5. Step 5: Solve for x
    x = 114,524,921,319.26/381,066.41
  6. Step 6: Final answer
    x = 300,537.96

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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.