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Finding the Fourth Proportional to 397,244.40, 594,311.40 and 257,276.40

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Solution

The fourth proportional to 397,244.40, 594,311.40 and 257,276.40 is: 384,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,244.40 : 594,311.40 = 257,276.40 : x
  2. Step 2: Convert to fraction form
    397,244.40/594,311.40 = 257,276.40/x
  3. Step 3: Cross multiply
    397,244.40x = 594,311.40 × 257,276.40
  4. Step 4: Simplify right side
    397,244.40x = 152,902,297,470.96
  5. Step 5: Solve for x
    x = 152,902,297,470.96/397,244.40
  6. Step 6: Final answer
    x = 384,907.37

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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.