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Finding the Fourth Proportional to 321,756.40, 482,634.60 and 269,657.20

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Solution

The fourth proportional to 321,756.40, 482,634.60 and 269,657.20 is: 404,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,756.40 : 482,634.60 = 269,657.20 : x
  2. Step 2: Convert to fraction form
    321,756.40/482,634.60 = 269,657.20/x
  3. Step 3: Cross multiply
    321,756.40x = 482,634.60 × 269,657.20
  4. Step 4: Simplify right side
    321,756.40x = 130,145,894,859.12
  5. Step 5: Solve for x
    x = 130,145,894,859.12/321,756.40
  6. Step 6: Final answer
    x = 404,485.80

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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.