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Finding the Fourth Proportional to 262,788.81, 394,210.70 and 120,609.81

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Solution

The fourth proportional to 262,788.81, 394,210.70 and 120,609.81 is: 180,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,788.81 : 394,210.70 = 120,609.81 : x
  2. Step 2: Convert to fraction form
    262,788.81/394,210.70 = 120,609.81/x
  3. Step 3: Cross multiply
    262,788.81x = 394,210.70 × 120,609.81
  4. Step 4: Simplify right side
    262,788.81x = 47,545,677,476.20
  5. Step 5: Solve for x
    x = 47,545,677,476.20/262,788.81
  6. Step 6: Final answer
    x = 180,927.33

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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.