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Finding the Fourth Proportional to 381,134.43, 525,947.58 and 211,364.91

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Solution

The fourth proportional to 381,134.43, 525,947.58 and 211,364.91 is: 291,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,134.43 : 525,947.58 = 211,364.91 : x
  2. Step 2: Convert to fraction form
    381,134.43/525,947.58 = 211,364.91/x
  3. Step 3: Cross multiply
    381,134.43x = 525,947.58 × 211,364.91
  4. Step 4: Simplify right side
    381,134.43x = 111,166,862,911.42
  5. Step 5: Solve for x
    x = 111,166,862,911.42/381,134.43
  6. Step 6: Final answer
    x = 291,673.63

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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.