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Finding the Fourth Proportional to 198,928.80, 297,955.80 and 172,684.80

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Solution

The fourth proportional to 198,928.80, 297,955.80 and 172,684.80 is: 258,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,928.80 : 297,955.80 = 172,684.80 : x
  2. Step 2: Convert to fraction form
    198,928.80/297,955.80 = 172,684.80/x
  3. Step 3: Cross multiply
    198,928.80x = 297,955.80 × 172,684.80
  4. Step 4: Simplify right side
    198,928.80x = 51,452,437,731.84
  5. Step 5: Solve for x
    x = 51,452,437,731.84/198,928.80
  6. Step 6: Final answer
    x = 258,647.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.