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Finding the Fourth Proportional to 286,782, 395,740.44 and 159,453.04

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Solution

The fourth proportional to 286,782, 395,740.44 and 159,453.04 is: 220,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,782 : 395,740.44 = 159,453.04 : x
  2. Step 2: Convert to fraction form
    286,782/395,740.44 = 159,453.04/x
  3. Step 3: Cross multiply
    286,782x = 395,740.44 × 159,453.04
  4. Step 4: Simplify right side
    286,782x = 63,102,016,208.94
  5. Step 5: Solve for x
    x = 63,102,016,208.94/286,782
  6. Step 6: Final answer
    x = 220,034.79

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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.