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Finding the Fourth Proportional to 477,938, 659,477.24 and 273,951.36

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Solution

The fourth proportional to 477,938, 659,477.24 and 273,951.36 is: 378,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,938 : 659,477.24 = 273,951.36 : x
  2. Step 2: Convert to fraction form
    477,938/659,477.24 = 273,951.36/x
  3. Step 3: Cross multiply
    477,938x = 659,477.24 × 273,951.36
  4. Step 4: Simplify right side
    477,938x = 180,664,686,787.05
  5. Step 5: Solve for x
    x = 180,664,686,787.05/477,938
  6. Step 6: Final answer
    x = 378,008.63

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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.