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Finding the Fourth Proportional to 382,072.32, 572,910.40 and 202,255.20

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Solution

The fourth proportional to 382,072.32, 572,910.40 and 202,255.20 is: 303,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,072.32 : 572,910.40 = 202,255.20 : x
  2. Step 2: Convert to fraction form
    382,072.32/572,910.40 = 202,255.20/x
  3. Step 3: Cross multiply
    382,072.32x = 572,910.40 × 202,255.20
  4. Step 4: Simplify right side
    382,072.32x = 115,874,107,534.08
  5. Step 5: Solve for x
    x = 115,874,107,534.08/382,072.32
  6. Step 6: Final answer
    x = 303,277.94

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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.