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Finding the Fourth Proportional to 381,143.07, 525,907.89 and 219,939.30

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Solution

The fourth proportional to 381,143.07, 525,907.89 and 219,939.30 is: 303,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,143.07 : 525,907.89 = 219,939.30 : x
  2. Step 2: Convert to fraction form
    381,143.07/525,907.89 = 219,939.30/x
  3. Step 3: Cross multiply
    381,143.07x = 525,907.89 × 219,939.30
  4. Step 4: Simplify right side
    381,143.07x = 115,667,813,191.08
  5. Step 5: Solve for x
    x = 115,667,813,191.08/381,143.07
  6. Step 6: Final answer
    x = 303,476.10

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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.