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Finding the Fourth Proportional to 298,670.74, 447,850.56 and 140,856.82

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Solution

The fourth proportional to 298,670.74, 447,850.56 and 140,856.82 is: 211,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,670.74 : 447,850.56 = 140,856.82 : x
  2. Step 2: Convert to fraction form
    298,670.74/447,850.56 = 140,856.82/x
  3. Step 3: Cross multiply
    298,670.74x = 447,850.56 × 140,856.82
  4. Step 4: Simplify right side
    298,670.74x = 63,082,805,716.82
  5. Step 5: Solve for x
    x = 63,082,805,716.82/298,670.74
  6. Step 6: Final answer
    x = 211,211.87

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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.