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Finding the Fourth Proportional to 205,298.31, 281,253.98 and 197,622.72

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Solution

The fourth proportional to 205,298.31, 281,253.98 and 197,622.72 is: 270,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,298.31 : 281,253.98 = 197,622.72 : x
  2. Step 2: Convert to fraction form
    205,298.31/281,253.98 = 197,622.72/x
  3. Step 3: Cross multiply
    205,298.31x = 281,253.98 × 197,622.72
  4. Step 4: Simplify right side
    205,298.31x = 55,582,176,476.67
  5. Step 5: Solve for x
    x = 55,582,176,476.67/205,298.31
  6. Step 6: Final answer
    x = 270,738.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.