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Finding the Fourth Proportional to 500,296.44, 690,409.26 and 273,955.80

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Solution

The fourth proportional to 500,296.44, 690,409.26 and 273,955.80 is: 378,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,296.44 : 690,409.26 = 273,955.80 : x
  2. Step 2: Convert to fraction form
    500,296.44/690,409.26 = 273,955.80/x
  3. Step 3: Cross multiply
    500,296.44x = 690,409.26 × 273,955.80
  4. Step 4: Simplify right side
    500,296.44x = 189,141,621,150.71
  5. Step 5: Solve for x
    x = 189,141,621,150.71/500,296.44
  6. Step 6: Final answer
    x = 378,059.10

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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.