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Finding the Fourth Proportional to 768,081.60, 1,152,122.40 and 269,380.80

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Solution

The fourth proportional to 768,081.60, 1,152,122.40 and 269,380.80 is: 404,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,081.60 : 1,152,122.40 = 269,380.80 : x
  2. Step 2: Convert to fraction form
    768,081.60/1,152,122.40 = 269,380.80/x
  3. Step 3: Cross multiply
    768,081.60x = 1,152,122.40 × 269,380.80
  4. Step 4: Simplify right side
    768,081.60x = 310,359,653,809.92
  5. Step 5: Solve for x
    x = 310,359,653,809.92/768,081.60
  6. Step 6: Final answer
    x = 404,071.20

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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.