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Finding the Fourth Proportional to 285,610.05, 394,128.08 and 164,790.30

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Solution

The fourth proportional to 285,610.05, 394,128.08 and 164,790.30 is: 227,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,610.05 : 394,128.08 = 164,790.30 : x
  2. Step 2: Convert to fraction form
    285,610.05/394,128.08 = 164,790.30/x
  3. Step 3: Cross multiply
    285,610.05x = 394,128.08 × 164,790.30
  4. Step 4: Simplify right side
    285,610.05x = 64,948,483,596.65
  5. Step 5: Solve for x
    x = 64,948,483,596.65/285,610.05
  6. Step 6: Final answer
    x = 227,402.65

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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.