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Finding the Fourth Proportional to 255,131.98, 382,698 and 181,145.44

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Solution

The fourth proportional to 255,131.98, 382,698 and 181,145.44 is: 271,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,131.98 : 382,698 = 181,145.44 : x
  2. Step 2: Convert to fraction form
    255,131.98/382,698 = 181,145.44/x
  3. Step 3: Cross multiply
    255,131.98x = 382,698 × 181,145.44
  4. Step 4: Simplify right side
    255,131.98x = 69,323,997,597.12
  5. Step 5: Solve for x
    x = 69,323,997,597.12/255,131.98
  6. Step 6: Final answer
    x = 271,718.18

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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.