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Finding the Fourth Proportional to 358,144.95, 494,229.61 and 196,999.95

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Solution

The fourth proportional to 358,144.95, 494,229.61 and 196,999.95 is: 271,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,144.95 : 494,229.61 = 196,999.95 : x
  2. Step 2: Convert to fraction form
    358,144.95/494,229.61 = 196,999.95/x
  3. Step 3: Cross multiply
    358,144.95x = 494,229.61 × 196,999.95
  4. Step 4: Simplify right side
    358,144.95x = 97,363,210,558.13
  5. Step 5: Solve for x
    x = 97,363,210,558.13/358,144.95
  6. Step 6: Final answer
    x = 271,854.21

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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.