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Finding the Fourth Proportional to 358,120.68, 494,206.80 and 196,988.00

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Solution

The fourth proportional to 358,120.68, 494,206.80 and 196,988.00 is: 271,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,120.68 : 494,206.80 = 196,988.00 : x
  2. Step 2: Convert to fraction form
    358,120.68/494,206.80 = 196,988.00/x
  3. Step 3: Cross multiply
    358,120.68x = 494,206.80 × 196,988.00
  4. Step 4: Simplify right side
    358,120.68x = 97,352,806,647.37
  5. Step 5: Solve for x
    x = 97,352,806,647.37/358,120.68
  6. Step 6: Final answer
    x = 271,843.58

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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.