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Finding the Fourth Proportional to 383,995.31, 576,249.89 and 159,355.76

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Solution

The fourth proportional to 383,995.31, 576,249.89 and 159,355.76 is: 239,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,995.31 : 576,249.89 = 159,355.76 : x
  2. Step 2: Convert to fraction form
    383,995.31/576,249.89 = 159,355.76/x
  3. Step 3: Cross multiply
    383,995.31x = 576,249.89 × 159,355.76
  4. Step 4: Simplify right side
    383,995.31x = 91,828,735,492.84
  5. Step 5: Solve for x
    x = 91,828,735,492.84/383,995.31
  6. Step 6: Final answer
    x = 239,140.26

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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.