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Finding the Fourth Proportional to 285,397.85, 394,113.77 and 213,653.31

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Solution

The fourth proportional to 285,397.85, 394,113.77 and 213,653.31 is: 295,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,397.85 : 394,113.77 = 213,653.31 : x
  2. Step 2: Convert to fraction form
    285,397.85/394,113.77 = 213,653.31/x
  3. Step 3: Cross multiply
    285,397.85x = 394,113.77 × 213,653.31
  4. Step 4: Simplify right side
    285,397.85x = 84,203,710,408.81
  5. Step 5: Solve for x
    x = 84,203,710,408.81/285,397.85
  6. Step 6: Final answer
    x = 295,039.76

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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.