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Finding the Fourth Proportional to 382,900.64, 528,452.43 and 219,620.84

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Solution

The fourth proportional to 382,900.64, 528,452.43 and 219,620.84 is: 303,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,900.64 : 528,452.43 = 219,620.84 : x
  2. Step 2: Convert to fraction form
    382,900.64/528,452.43 = 219,620.84/x
  3. Step 3: Cross multiply
    382,900.64x = 528,452.43 × 219,620.84
  4. Step 4: Simplify right side
    382,900.64x = 116,059,167,897.77
  5. Step 5: Solve for x
    x = 116,059,167,897.77/382,900.64
  6. Step 6: Final answer
    x = 303,105.18

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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.