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Finding the Fourth Proportional to 198,218.84, 297,330.69 and 57,980.30

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Solution

The fourth proportional to 198,218.84, 297,330.69 and 57,980.30 is: 86,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,218.84 : 297,330.69 = 57,980.30 : x
  2. Step 2: Convert to fraction form
    198,218.84/297,330.69 = 57,980.30/x
  3. Step 3: Cross multiply
    198,218.84x = 297,330.69 × 57,980.30
  4. Step 4: Simplify right side
    198,218.84x = 17,239,322,605.41
  5. Step 5: Solve for x
    x = 17,239,322,605.41/198,218.84
  6. Step 6: Final answer
    x = 86,971.16

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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.