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Finding the Fourth Proportional to 286,665.14, 395,611.92 and 159,338

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Solution

The fourth proportional to 286,665.14, 395,611.92 and 159,338 is: 219,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,665.14 : 395,611.92 = 159,338 : x
  2. Step 2: Convert to fraction form
    286,665.14/395,611.92 = 159,338/x
  3. Step 3: Cross multiply
    286,665.14x = 395,611.92 × 159,338
  4. Step 4: Simplify right side
    286,665.14x = 63,036,012,108.96
  5. Step 5: Solve for x
    x = 63,036,012,108.96/286,665.14
  6. Step 6: Final answer
    x = 219,894.24

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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.