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Finding the Fourth Proportional to 553,049.28, 829,845 and 198,090.72

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Solution

The fourth proportional to 553,049.28, 829,845 and 198,090.72 is: 297,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,049.28 : 829,845 = 198,090.72 : x
  2. Step 2: Convert to fraction form
    553,049.28/829,845 = 198,090.72/x
  3. Step 3: Cross multiply
    553,049.28x = 829,845 × 198,090.72
  4. Step 4: Simplify right side
    553,049.28x = 164,384,593,538.40
  5. Step 5: Solve for x
    x = 164,384,593,538.40/553,049.28
  6. Step 6: Final answer
    x = 297,233.18

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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.