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Finding the Fourth Proportional to 382,144.40, 573,070.80 and 115,816.40

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Solution

The fourth proportional to 382,144.40, 573,070.80 and 115,816.40 is: 173,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,144.40 : 573,070.80 = 115,816.40 : x
  2. Step 2: Convert to fraction form
    382,144.40/573,070.80 = 115,816.40/x
  3. Step 3: Cross multiply
    382,144.40x = 573,070.80 × 115,816.40
  4. Step 4: Simplify right side
    382,144.40x = 66,370,997,001.12
  5. Step 5: Solve for x
    x = 66,370,997,001.12/382,144.40
  6. Step 6: Final answer
    x = 173,680.41

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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.