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Finding the Fourth Proportional to 397,322.40, 595,983.60 and 239,858.40

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Solution

The fourth proportional to 397,322.40, 595,983.60 and 239,858.40 is: 359,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,322.40 : 595,983.60 = 239,858.40 : x
  2. Step 2: Convert to fraction form
    397,322.40/595,983.60 = 239,858.40/x
  3. Step 3: Cross multiply
    397,322.40x = 595,983.60 × 239,858.40
  4. Step 4: Simplify right side
    397,322.40x = 142,951,672,722.24
  5. Step 5: Solve for x
    x = 142,951,672,722.24/397,322.40
  6. Step 6: Final answer
    x = 359,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.