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Finding the Fourth Proportional to 381,009.40, 571,470.27 and 100,548.52

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Solution

The fourth proportional to 381,009.40, 571,470.27 and 100,548.52 is: 150,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,009.40 : 571,470.27 = 100,548.52 : x
  2. Step 2: Convert to fraction form
    381,009.40/571,470.27 = 100,548.52/x
  3. Step 3: Cross multiply
    381,009.40x = 571,470.27 × 100,548.52
  4. Step 4: Simplify right side
    381,009.40x = 57,460,489,872.50
  5. Step 5: Solve for x
    x = 57,460,489,872.50/381,009.40
  6. Step 6: Final answer
    x = 150,811.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.