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Finding the Fourth Proportional to 255,244, 382,907.52 and 86,779.44

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Solution

The fourth proportional to 255,244, 382,907.52 and 86,779.44 is: 130,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,244 : 382,907.52 = 86,779.44 : x
  2. Step 2: Convert to fraction form
    255,244/382,907.52 = 86,779.44/x
  3. Step 3: Cross multiply
    255,244x = 382,907.52 × 86,779.44
  4. Step 4: Simplify right side
    255,244x = 33,228,500,157.39
  5. Step 5: Solve for x
    x = 33,228,500,157.39/255,244
  6. Step 6: Final answer
    x = 130,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.