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Finding the Fourth Proportional to 500,283.44, 690,391.32 and 273,943.28

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Solution

The fourth proportional to 500,283.44, 690,391.32 and 273,943.28 is: 378,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,283.44 : 690,391.32 = 273,943.28 : x
  2. Step 2: Convert to fraction form
    500,283.44/690,391.32 = 273,943.28/x
  3. Step 3: Cross multiply
    500,283.44x = 690,391.32 × 273,943.28
  4. Step 4: Simplify right side
    500,283.44x = 189,128,062,684.33
  5. Step 5: Solve for x
    x = 189,128,062,684.33/500,283.44
  6. Step 6: Final answer
    x = 378,041.82

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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.