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Finding the Fourth Proportional to 383,529.49, 529,271.27 and 213,759.97

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Solution

The fourth proportional to 383,529.49, 529,271.27 and 213,759.97 is: 294,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,529.49 : 529,271.27 = 213,759.97 : x
  2. Step 2: Convert to fraction form
    383,529.49/529,271.27 = 213,759.97/x
  3. Step 3: Cross multiply
    383,529.49x = 529,271.27 × 213,759.97
  4. Step 4: Simplify right side
    383,529.49x = 113,137,008,685.11
  5. Step 5: Solve for x
    x = 113,137,008,685.11/383,529.49
  6. Step 6: Final answer
    x = 294,989.08

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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.