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Finding the Fourth Proportional to 298,672.64, 446,956 and 186,405.44

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Solution

The fourth proportional to 298,672.64, 446,956 and 186,405.44 is: 278,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,672.64 : 446,956 = 186,405.44 : x
  2. Step 2: Convert to fraction form
    298,672.64/446,956 = 186,405.44/x
  3. Step 3: Cross multiply
    298,672.64x = 446,956 × 186,405.44
  4. Step 4: Simplify right side
    298,672.64x = 83,315,029,840.64
  5. Step 5: Solve for x
    x = 83,315,029,840.64/298,672.64
  6. Step 6: Final answer
    x = 278,950.99

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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.