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Finding the Fourth Proportional to 382,945.84, 528,469.16 and 210,879.80

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Solution

The fourth proportional to 382,945.84, 528,469.16 and 210,879.80 is: 291,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,945.84 : 528,469.16 = 210,879.80 : x
  2. Step 2: Convert to fraction form
    382,945.84/528,469.16 = 210,879.80/x
  3. Step 3: Cross multiply
    382,945.84x = 528,469.16 × 210,879.80
  4. Step 4: Simplify right side
    382,945.84x = 111,443,472,614.15
  5. Step 5: Solve for x
    x = 111,443,472,614.15/382,945.84
  6. Step 6: Final answer
    x = 291,016.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.