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Finding the Fourth Proportional to 286,293, 395,096.52 and 158,968.50

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Solution

The fourth proportional to 286,293, 395,096.52 and 158,968.50 is: 219,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,293 : 395,096.52 = 158,968.50 : x
  2. Step 2: Convert to fraction form
    286,293/395,096.52 = 158,968.50/x
  3. Step 3: Cross multiply
    286,293x = 395,096.52 × 158,968.50
  4. Step 4: Simplify right side
    286,293x = 62,807,901,139.62
  5. Step 5: Solve for x
    x = 62,807,901,139.62/286,293
  6. Step 6: Final answer
    x = 219,383.29

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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.