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Finding the Fourth Proportional to 380,745.37, 570,855.61 and 180,897.31

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Solution

The fourth proportional to 380,745.37, 570,855.61 and 180,897.31 is: 271,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,745.37 : 570,855.61 = 180,897.31 : x
  2. Step 2: Convert to fraction form
    380,745.37/570,855.61 = 180,897.31/x
  3. Step 3: Cross multiply
    380,745.37x = 570,855.61 × 180,897.31
  4. Step 4: Simplify right side
    380,745.37x = 103,266,244,247.41
  5. Step 5: Solve for x
    x = 103,266,244,247.41/380,745.37
  6. Step 6: Final answer
    x = 271,221.27

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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.