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Finding the Fourth Proportional to 285,377.32, 393,786.90 and 164,558.32

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Solution

The fourth proportional to 285,377.32, 393,786.90 and 164,558.32 is: 227,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,377.32 : 393,786.90 = 164,558.32 : x
  2. Step 2: Convert to fraction form
    285,377.32/393,786.90 = 164,558.32/x
  3. Step 3: Cross multiply
    285,377.32x = 393,786.90 × 164,558.32
  4. Step 4: Simplify right side
    285,377.32x = 64,800,910,702.01
  5. Step 5: Solve for x
    x = 64,800,910,702.01/285,377.32
  6. Step 6: Final answer
    x = 227,070.99

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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.