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Finding the Fourth Proportional to 382,478.40, 573,717.60 and 341,144.10

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Solution

The fourth proportional to 382,478.40, 573,717.60 and 341,144.10 is: 511,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,478.40 : 573,717.60 = 341,144.10 : x
  2. Step 2: Convert to fraction form
    382,478.40/573,717.60 = 341,144.10/x
  3. Step 3: Cross multiply
    382,478.40x = 573,717.60 × 341,144.10
  4. Step 4: Simplify right side
    382,478.40x = 195,720,374,306.16
  5. Step 5: Solve for x
    x = 195,720,374,306.16/382,478.40
  6. Step 6: Final answer
    x = 511,716.15

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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.