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Finding the Fourth Proportional to 383,120.70, 528,711.75 and 213,359.10

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Solution

The fourth proportional to 383,120.70, 528,711.75 and 213,359.10 is: 294,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,120.70 : 528,711.75 = 213,359.10 : x
  2. Step 2: Convert to fraction form
    383,120.70/528,711.75 = 213,359.10/x
  3. Step 3: Cross multiply
    383,120.70x = 528,711.75 × 213,359.10
  4. Step 4: Simplify right side
    383,120.70x = 112,805,463,139.43
  5. Step 5: Solve for x
    x = 112,805,463,139.43/383,120.70
  6. Step 6: Final answer
    x = 294,438.44

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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.