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Finding the Fourth Proportional to 198,219.34, 297,331.44 and 57,980.80

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Solution

The fourth proportional to 198,219.34, 297,331.44 and 57,980.80 is: 86,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,219.34 : 297,331.44 = 57,980.80 : x
  2. Step 2: Convert to fraction form
    198,219.34/297,331.44 = 57,980.80/x
  3. Step 3: Cross multiply
    198,219.34x = 297,331.44 × 57,980.80
  4. Step 4: Simplify right side
    198,219.34x = 17,239,514,756.35
  5. Step 5: Solve for x
    x = 17,239,514,756.35/198,219.34
  6. Step 6: Final answer
    x = 86,971.91

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1.5x scale

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.