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Finding the Fourth Proportional to 358,123.20, 494,210.25 and 196,990.50

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Solution

The fourth proportional to 358,123.20, 494,210.25 and 196,990.50 is: 271,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,123.20 : 494,210.25 = 196,990.50 : x
  2. Step 2: Convert to fraction form
    358,123.20/494,210.25 = 196,990.50/x
  3. Step 3: Cross multiply
    358,123.20x = 494,210.25 × 196,990.50
  4. Step 4: Simplify right side
    358,123.20x = 97,354,724,252.63
  5. Step 5: Solve for x
    x = 97,354,724,252.63/358,123.20
  6. Step 6: Final answer
    x = 271,847.02

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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.