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Finding the Fourth Proportional to 354,140, 488,713.21 and 195,164

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Solution

The fourth proportional to 354,140, 488,713.21 and 195,164 is: 269,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,140 : 488,713.21 = 195,164 : x
  2. Step 2: Convert to fraction form
    354,140/488,713.21 = 195,164/x
  3. Step 3: Cross multiply
    354,140x = 488,713.21 × 195,164
  4. Step 4: Simplify right side
    354,140x = 95,379,224,916.44
  5. Step 5: Solve for x
    x = 95,379,224,916.44/354,140
  6. Step 6: Final answer
    x = 269,326.33

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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.