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Finding the Fourth Proportional to 354,135, 488,706.30 and 195,159

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Solution

The fourth proportional to 354,135, 488,706.30 and 195,159 is: 269,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,135 : 488,706.30 = 195,159 : x
  2. Step 2: Convert to fraction form
    354,135/488,706.30 = 195,159/x
  3. Step 3: Cross multiply
    354,135x = 488,706.30 × 195,159
  4. Step 4: Simplify right side
    354,135x = 95,375,432,801.70
  5. Step 5: Solve for x
    x = 95,375,432,801.70/354,135
  6. Step 6: Final answer
    x = 269,319.42

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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.