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Finding the Fourth Proportional to 397,729.44, 595,894.32 and 354,339.36

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Solution

The fourth proportional to 397,729.44, 595,894.32 and 354,339.36 is: 530,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,729.44 : 595,894.32 = 354,339.36 : x
  2. Step 2: Convert to fraction form
    397,729.44/595,894.32 = 354,339.36/x
  3. Step 3: Cross multiply
    397,729.44x = 595,894.32 × 354,339.36
  4. Step 4: Simplify right side
    397,729.44x = 211,148,811,976.44
  5. Step 5: Solve for x
    x = 211,148,811,976.44/397,729.44
  6. Step 6: Final answer
    x = 530,885.55

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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.