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Finding the Fourth Proportional to 381,065.22, 525,893.64 and 211,299.36

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Solution

The fourth proportional to 381,065.22, 525,893.64 and 211,299.36 is: 291,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,065.22 : 525,893.64 = 211,299.36 : x
  2. Step 2: Convert to fraction form
    381,065.22/525,893.64 = 211,299.36/x
  3. Step 3: Cross multiply
    381,065.22x = 525,893.64 × 211,299.36
  4. Step 4: Simplify right side
    381,065.22x = 111,120,989,560.07
  5. Step 5: Solve for x
    x = 111,120,989,560.07/381,065.22
  6. Step 6: Final answer
    x = 291,606.22

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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.