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Finding the Fourth Proportional to 689,916, 952,083.84 and 388,110

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Solution

The fourth proportional to 689,916, 952,083.84 and 388,110 is: 535,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,916 : 952,083.84 = 388,110 : x
  2. Step 2: Convert to fraction form
    689,916/952,083.84 = 388,110/x
  3. Step 3: Cross multiply
    689,916x = 952,083.84 × 388,110
  4. Step 4: Simplify right side
    689,916x = 369,513,259,142.40
  5. Step 5: Solve for x
    x = 369,513,259,142.40/689,916
  6. Step 6: Final answer
    x = 535,591.66

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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.