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Finding the Fourth Proportional to 493,321.88, 739,683.17 and 193,443.20

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Solution

The fourth proportional to 493,321.88, 739,683.17 and 193,443.20 is: 290,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,321.88 : 739,683.17 = 193,443.20 : x
  2. Step 2: Convert to fraction form
    493,321.88/739,683.17 = 193,443.20/x
  3. Step 3: Cross multiply
    493,321.88x = 739,683.17 × 193,443.20
  4. Step 4: Simplify right side
    493,321.88x = 143,086,679,390.94
  5. Step 5: Solve for x
    x = 143,086,679,390.94/493,321.88
  6. Step 6: Final answer
    x = 290,047.30

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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.