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Finding the Fourth Proportional to 382,149.36, 573,229.71 and 145,505.16

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Solution

The fourth proportional to 382,149.36, 573,229.71 and 145,505.16 is: 218,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,149.36 : 573,229.71 = 145,505.16 : x
  2. Step 2: Convert to fraction form
    382,149.36/573,229.71 = 145,505.16/x
  3. Step 3: Cross multiply
    382,149.36x = 573,229.71 × 145,505.16
  4. Step 4: Simplify right side
    382,149.36x = 83,407,880,670.30
  5. Step 5: Solve for x
    x = 83,407,880,670.30/382,149.36
  6. Step 6: Final answer
    x = 218,259.90

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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.