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Finding the Fourth Proportional to 262,842.40, 394,263.60 and 122,615.20

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Solution

The fourth proportional to 262,842.40, 394,263.60 and 122,615.20 is: 183,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.40 : 394,263.60 = 122,615.20 : x
  2. Step 2: Convert to fraction form
    262,842.40/394,263.60 = 122,615.20/x
  3. Step 3: Cross multiply
    262,842.40x = 394,263.60 × 122,615.20
  4. Step 4: Simplify right side
    262,842.40x = 48,342,710,166.72
  5. Step 5: Solve for x
    x = 48,342,710,166.72/262,842.40
  6. Step 6: Final answer
    x = 183,922.80

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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.