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Finding the Fourth Proportional to 563,684.40, 843,558.30 and 394,410.60

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Solution

The fourth proportional to 563,684.40, 843,558.30 and 394,410.60 is: 590,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,684.40 : 843,558.30 = 394,410.60 : x
  2. Step 2: Convert to fraction form
    563,684.40/843,558.30 = 394,410.60/x
  3. Step 3: Cross multiply
    563,684.40x = 843,558.30 × 394,410.60
  4. Step 4: Simplify right side
    563,684.40x = 332,708,335,237.98
  5. Step 5: Solve for x
    x = 332,708,335,237.98/563,684.40
  6. Step 6: Final answer
    x = 590,238.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.