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Finding the Fourth Proportional to 381,054.54, 571,123.34 and 140,977.02

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Solution

The fourth proportional to 381,054.54, 571,123.34 and 140,977.02 is: 211,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,054.54 : 571,123.34 = 140,977.02 : x
  2. Step 2: Convert to fraction form
    381,054.54/571,123.34 = 140,977.02/x
  3. Step 3: Cross multiply
    381,054.54x = 571,123.34 × 140,977.02
  4. Step 4: Simplify right side
    381,054.54x = 80,515,266,525.65
  5. Step 5: Solve for x
    x = 80,515,266,525.65/381,054.54
  6. Step 6: Final answer
    x = 211,295.91

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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.