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Finding the Fourth Proportional to 286,645, 395,576.82 and 159,325.96

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Solution

The fourth proportional to 286,645, 395,576.82 and 159,325.96 is: 219,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,645 : 395,576.82 = 159,325.96 : x
  2. Step 2: Convert to fraction form
    286,645/395,576.82 = 159,325.96/x
  3. Step 3: Cross multiply
    286,645x = 395,576.82 × 159,325.96
  4. Step 4: Simplify right side
    286,645x = 63,025,656,600.25
  5. Step 5: Solve for x
    x = 63,025,656,600.25/286,645
  6. Step 6: Final answer
    x = 219,873.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.