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Finding the Fourth Proportional to 382,128.40, 573,192.60 and 157,414.15

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Solution

The fourth proportional to 382,128.40, 573,192.60 and 157,414.15 is: 236,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,128.40 : 573,192.60 = 157,414.15 : x
  2. Step 2: Convert to fraction form
    382,128.40/573,192.60 = 157,414.15/x
  3. Step 3: Cross multiply
    382,128.40x = 573,192.60 × 157,414.15
  4. Step 4: Simplify right side
    382,128.40x = 90,228,625,915.29
  5. Step 5: Solve for x
    x = 90,228,625,915.29/382,128.40
  6. Step 6: Final answer
    x = 236,121.23

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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.