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Finding the Fourth Proportional to 285,815.16, 394,333.92 and 164,940.48

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Solution

The fourth proportional to 285,815.16, 394,333.92 and 164,940.48 is: 227,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,815.16 : 394,333.92 = 164,940.48 : x
  2. Step 2: Convert to fraction form
    285,815.16/394,333.92 = 164,940.48/x
  3. Step 3: Cross multiply
    285,815.16x = 394,333.92 × 164,940.48
  4. Step 4: Simplify right side
    285,815.16x = 65,041,626,045.08
  5. Step 5: Solve for x
    x = 65,041,626,045.08/285,815.16
  6. Step 6: Final answer
    x = 227,565.35

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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.