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Finding the Fourth Proportional to 536,002.30, 804,010.74 and 198,912.70

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Solution

The fourth proportional to 536,002.30, 804,010.74 and 198,912.70 is: 298,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,002.30 : 804,010.74 = 198,912.70 : x
  2. Step 2: Convert to fraction form
    536,002.30/804,010.74 = 198,912.70/x
  3. Step 3: Cross multiply
    536,002.30x = 804,010.74 × 198,912.70
  4. Step 4: Simplify right side
    536,002.30x = 159,927,947,122.40
  5. Step 5: Solve for x
    x = 159,927,947,122.40/536,002.30
  6. Step 6: Final answer
    x = 298,371.76

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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.