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Finding the Fourth Proportional to 381,043.65, 570,444.33 and 254,369.73

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Solution

The fourth proportional to 381,043.65, 570,444.33 and 254,369.73 is: 380,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,043.65 : 570,444.33 = 254,369.73 : x
  2. Step 2: Convert to fraction form
    381,043.65/570,444.33 = 254,369.73/x
  3. Step 3: Cross multiply
    381,043.65x = 570,444.33 × 254,369.73
  4. Step 4: Simplify right side
    381,043.65x = 145,103,770,202.13
  5. Step 5: Solve for x
    x = 145,103,770,202.13/381,043.65
  6. Step 6: Final answer
    x = 380,806.16

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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.