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Finding the Fourth Proportional to 285,705.58, 394,193.90 and 225,088.07

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Solution

The fourth proportional to 285,705.58, 394,193.90 and 225,088.07 is: 310,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,705.58 : 394,193.90 = 225,088.07 : x
  2. Step 2: Convert to fraction form
    285,705.58/394,193.90 = 225,088.07/x
  3. Step 3: Cross multiply
    285,705.58x = 394,193.90 × 225,088.07
  4. Step 4: Simplify right side
    285,705.58x = 88,728,344,156.77
  5. Step 5: Solve for x
    x = 88,728,344,156.77/285,705.58
  6. Step 6: Final answer
    x = 310,558.67

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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.