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Finding the Fourth Proportional to 285,171, 393,623.58 and 164,393.02

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Solution

The fourth proportional to 285,171, 393,623.58 and 164,393.02 is: 226,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,171 : 393,623.58 = 164,393.02 : x
  2. Step 2: Convert to fraction form
    285,171/393,623.58 = 164,393.02/x
  3. Step 3: Cross multiply
    285,171x = 393,623.58 × 164,393.02
  4. Step 4: Simplify right side
    285,171x = 64,708,969,059.41
  5. Step 5: Solve for x
    x = 64,708,969,059.41/285,171
  6. Step 6: Final answer
    x = 226,912.87

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1.5x scale

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.