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Finding the Fourth Proportional to 286,375.95, 395,175.67 and 165,525.06

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Solution

The fourth proportional to 286,375.95, 395,175.67 and 165,525.06 is: 228,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,375.95 : 395,175.67 = 165,525.06 : x
  2. Step 2: Convert to fraction form
    286,375.95/395,175.67 = 165,525.06/x
  3. Step 3: Cross multiply
    286,375.95x = 395,175.67 × 165,525.06
  4. Step 4: Simplify right side
    286,375.95x = 65,411,476,073.48
  5. Step 5: Solve for x
    x = 65,411,476,073.48/286,375.95
  6. Step 6: Final answer
    x = 228,411.21

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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.