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Finding the Fourth Proportional to 285,496.32, 393,912 and 178,118.40

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Solution

The fourth proportional to 285,496.32, 393,912 and 178,118.40 is: 245,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,496.32 : 393,912 = 178,118.40 : x
  2. Step 2: Convert to fraction form
    285,496.32/393,912 = 178,118.40/x
  3. Step 3: Cross multiply
    285,496.32x = 393,912 × 178,118.40
  4. Step 4: Simplify right side
    285,496.32x = 70,162,975,180.80
  5. Step 5: Solve for x
    x = 70,162,975,180.80/285,496.32
  6. Step 6: Final answer
    x = 245,757.90

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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.