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Finding the Fourth Proportional to 358,122.84, 494,218.88 and 196,982.12

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Solution

The fourth proportional to 358,122.84, 494,218.88 and 196,982.12 is: 271,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,122.84 : 494,218.88 = 196,982.12 : x
  2. Step 2: Convert to fraction form
    358,122.84/494,218.88 = 196,982.12/x
  3. Step 3: Cross multiply
    358,122.84x = 494,218.88 × 196,982.12
  4. Step 4: Simplify right side
    358,122.84x = 97,352,282,726.43
  5. Step 5: Solve for x
    x = 97,352,282,726.43/358,122.84
  6. Step 6: Final answer
    x = 271,840.47

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1.5x scale

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.