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Finding the Fourth Proportional to 286,878.42, 395,906.85 and 159,556.50

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Solution

The fourth proportional to 286,878.42, 395,906.85 and 159,556.50 is: 220,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,878.42 : 395,906.85 = 159,556.50 : x
  2. Step 2: Convert to fraction form
    286,878.42/395,906.85 = 159,556.50/x
  3. Step 3: Cross multiply
    286,878.42x = 395,906.85 × 159,556.50
  4. Step 4: Simplify right side
    286,878.42x = 63,169,511,312.03
  5. Step 5: Solve for x
    x = 63,169,511,312.03/286,878.42
  6. Step 6: Final answer
    x = 220,196.11

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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.