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Finding the Fourth Proportional to 382,642.60, 573,272.70 and 338,405.80

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Solution

The fourth proportional to 382,642.60, 573,272.70 and 338,405.80 is: 506,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,642.60 : 573,272.70 = 338,405.80 : x
  2. Step 2: Convert to fraction form
    382,642.60/573,272.70 = 338,405.80/x
  3. Step 3: Cross multiply
    382,642.60x = 573,272.70 × 338,405.80
  4. Step 4: Simplify right side
    382,642.60x = 193,998,806,661.66
  5. Step 5: Solve for x
    x = 193,998,806,661.66/382,642.60
  6. Step 6: Final answer
    x = 506,997.41

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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.