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Finding the Fourth Proportional to 285,391.10, 394,104.45 and 213,646.56

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Solution

The fourth proportional to 285,391.10, 394,104.45 and 213,646.56 is: 295,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,391.10 : 394,104.45 = 213,646.56 : x
  2. Step 2: Convert to fraction form
    285,391.10/394,104.45 = 213,646.56/x
  3. Step 3: Cross multiply
    285,391.10x = 394,104.45 × 213,646.56
  4. Step 4: Simplify right side
    285,391.10x = 84,199,060,023.19
  5. Step 5: Solve for x
    x = 84,199,060,023.19/285,391.10
  6. Step 6: Final answer
    x = 295,030.44

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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.