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Finding the Fourth Proportional to 397,812.87, 595,079.06 and 255,439.17

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Solution

The fourth proportional to 397,812.87, 595,079.06 and 255,439.17 is: 382,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,812.87 : 595,079.06 = 255,439.17 : x
  2. Step 2: Convert to fraction form
    397,812.87/595,079.06 = 255,439.17/x
  3. Step 3: Cross multiply
    397,812.87x = 595,079.06 × 255,439.17
  4. Step 4: Simplify right side
    397,812.87x = 152,006,499,893.58
  5. Step 5: Solve for x
    x = 152,006,499,893.58/397,812.87
  6. Step 6: Final answer
    x = 382,105.54

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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.