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Finding the Fourth Proportional to 500,273.36, 690,384.84 and 273,939.92

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Solution

The fourth proportional to 500,273.36, 690,384.84 and 273,939.92 is: 378,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,273.36 : 690,384.84 = 273,939.92 : x
  2. Step 2: Convert to fraction form
    500,273.36/690,384.84 = 273,939.92/x
  3. Step 3: Cross multiply
    500,273.36x = 690,384.84 × 273,939.92
  4. Step 4: Simplify right side
    500,273.36x = 189,123,967,838.81
  5. Step 5: Solve for x
    x = 189,123,967,838.81/500,273.36
  6. Step 6: Final answer
    x = 378,041.25

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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.