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Finding the Fourth Proportional to 268,242.80, 402,364.20 and 120,786.80

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Solution

The fourth proportional to 268,242.80, 402,364.20 and 120,786.80 is: 181,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,242.80 : 402,364.20 = 120,786.80 : x
  2. Step 2: Convert to fraction form
    268,242.80/402,364.20 = 120,786.80/x
  3. Step 3: Cross multiply
    268,242.80x = 402,364.20 × 120,786.80
  4. Step 4: Simplify right side
    268,242.80x = 48,600,284,152.56
  5. Step 5: Solve for x
    x = 48,600,284,152.56/268,242.80
  6. Step 6: Final answer
    x = 181,180.20

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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.