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Finding the Fourth Proportional to 286,704.59, 395,608.04 and 165,857.12

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Solution

The fourth proportional to 286,704.59, 395,608.04 and 165,857.12 is: 228,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,704.59 : 395,608.04 = 165,857.12 : x
  2. Step 2: Convert to fraction form
    286,704.59/395,608.04 = 165,857.12/x
  3. Step 3: Cross multiply
    286,704.59x = 395,608.04 × 165,857.12
  4. Step 4: Simplify right side
    286,704.59x = 65,614,408,185.20
  5. Step 5: Solve for x
    x = 65,614,408,185.20/286,704.59
  6. Step 6: Final answer
    x = 228,857.20

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1.5x scale

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.