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Finding the Fourth Proportional to 553,083.64, 829,797.68 and 198,100.72

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Solution

The fourth proportional to 553,083.64, 829,797.68 and 198,100.72 is: 297,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,083.64 : 829,797.68 = 198,100.72 : x
  2. Step 2: Convert to fraction form
    553,083.64/829,797.68 = 198,100.72/x
  3. Step 3: Cross multiply
    553,083.64x = 829,797.68 × 198,100.72
  4. Step 4: Simplify right side
    553,083.64x = 164,383,517,862.33
  5. Step 5: Solve for x
    x = 164,383,517,862.33/553,083.64
  6. Step 6: Final answer
    x = 297,212.76

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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.