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Finding the Fourth Proportional to 286,425.33, 395,214.84 and 165,522.30

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Solution

The fourth proportional to 286,425.33, 395,214.84 and 165,522.30 is: 228,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,425.33 : 395,214.84 = 165,522.30 : x
  2. Step 2: Convert to fraction form
    286,425.33/395,214.84 = 165,522.30/x
  3. Step 3: Cross multiply
    286,425.33x = 395,214.84 × 165,522.30
  4. Step 4: Simplify right side
    286,425.33x = 65,416,869,310.93
  5. Step 5: Solve for x
    x = 65,416,869,310.93/286,425.33
  6. Step 6: Final answer
    x = 228,390.66

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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.