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Finding the Fourth Proportional to 383,229.49, 528,873.02 and 213,463.57

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Solution

The fourth proportional to 383,229.49, 528,873.02 and 213,463.57 is: 294,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,229.49 : 528,873.02 = 213,463.57 : x
  2. Step 2: Convert to fraction form
    383,229.49/528,873.02 = 213,463.57/x
  3. Step 3: Cross multiply
    383,229.49x = 528,873.02 × 213,463.57
  4. Step 4: Simplify right side
    383,229.49x = 112,895,121,858.56
  5. Step 5: Solve for x
    x = 112,895,121,858.56/383,229.49
  6. Step 6: Final answer
    x = 294,588.82

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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.