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Finding the Fourth Proportional to 285,471.30, 393,992.34 and 164,588.94

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Solution

The fourth proportional to 285,471.30, 393,992.34 and 164,588.94 is: 227,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471.30 : 393,992.34 = 164,588.94 : x
  2. Step 2: Convert to fraction form
    285,471.30/393,992.34 = 164,588.94/x
  3. Step 3: Cross multiply
    285,471.30x = 393,992.34 × 164,588.94
  4. Step 4: Simplify right side
    285,471.30x = 64,846,781,608.72
  5. Step 5: Solve for x
    x = 64,846,781,608.72/285,471.30
  6. Step 6: Final answer
    x = 227,156.92

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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.