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Finding the Fourth Proportional to 381,057.72, 525,883.29 and 211,291.84

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Solution

The fourth proportional to 381,057.72, 525,883.29 and 211,291.84 is: 291,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,057.72 : 525,883.29 = 211,291.84 : x
  2. Step 2: Convert to fraction form
    381,057.72/525,883.29 = 211,291.84/x
  3. Step 3: Cross multiply
    381,057.72x = 525,883.29 × 211,291.84
  4. Step 4: Simplify right side
    381,057.72x = 111,114,847,834.36
  5. Step 5: Solve for x
    x = 111,114,847,834.36/381,057.72
  6. Step 6: Final answer
    x = 291,595.85

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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.