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Finding the Fourth Proportional to 198,808.80, 297,775.80 and 172,564.80

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Solution

The fourth proportional to 198,808.80, 297,775.80 and 172,564.80 is: 258,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,808.80 : 297,775.80 = 172,564.80 : x
  2. Step 2: Convert to fraction form
    198,808.80/297,775.80 = 172,564.80/x
  3. Step 3: Cross multiply
    198,808.80x = 297,775.80 × 172,564.80
  4. Step 4: Simplify right side
    198,808.80x = 51,385,621,371.84
  5. Step 5: Solve for x
    x = 51,385,621,371.84/198,808.80
  6. Step 6: Final answer
    x = 258,467.54

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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.