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Finding the Fourth Proportional to 347,684.25, 521,704.36 and 165,521.21

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Solution

The fourth proportional to 347,684.25, 521,704.36 and 165,521.21 is: 248,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,684.25 : 521,704.36 = 165,521.21 : x
  2. Step 2: Convert to fraction form
    347,684.25/521,704.36 = 165,521.21/x
  3. Step 3: Cross multiply
    347,684.25x = 521,704.36 × 165,521.21
  4. Step 4: Simplify right side
    347,684.25x = 86,353,135,553.19
  5. Step 5: Solve for x
    x = 86,353,135,553.19/347,684.25
  6. Step 6: Final answer
    x = 248,366.55

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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.