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Finding the Fourth Proportional to 320,422.80, 480,634.20 and 178,705.20

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Solution

The fourth proportional to 320,422.80, 480,634.20 and 178,705.20 is: 268,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,422.80 : 480,634.20 = 178,705.20 : x
  2. Step 2: Convert to fraction form
    320,422.80/480,634.20 = 178,705.20/x
  3. Step 3: Cross multiply
    320,422.80x = 480,634.20 × 178,705.20
  4. Step 4: Simplify right side
    320,422.80x = 85,891,830,837.84
  5. Step 5: Solve for x
    x = 85,891,830,837.84/320,422.80
  6. Step 6: Final answer
    x = 268,057.80

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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.