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Finding the Fourth Proportional to 319,956.48, 441,288 and 298,494.72

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Solution

The fourth proportional to 319,956.48, 441,288 and 298,494.72 is: 411,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,956.48 : 441,288 = 298,494.72 : x
  2. Step 2: Convert to fraction form
    319,956.48/441,288 = 298,494.72/x
  3. Step 3: Cross multiply
    319,956.48x = 441,288 × 298,494.72
  4. Step 4: Simplify right side
    319,956.48x = 131,722,137,999.36
  5. Step 5: Solve for x
    x = 131,722,137,999.36/319,956.48
  6. Step 6: Final answer
    x = 411,687.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.