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Finding the Fourth Proportional to 198,443.28, 296,978.44 and 122,510.64

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Solution

The fourth proportional to 198,443.28, 296,978.44 and 122,510.64 is: 183,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,443.28 : 296,978.44 = 122,510.64 : x
  2. Step 2: Convert to fraction form
    198,443.28/296,978.44 = 122,510.64/x
  3. Step 3: Cross multiply
    198,443.28x = 296,978.44 × 122,510.64
  4. Step 4: Simplify right side
    198,443.28x = 36,383,018,750.60
  5. Step 5: Solve for x
    x = 36,383,018,750.60/198,443.28
  6. Step 6: Final answer
    x = 183,342.16

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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.