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Finding the Fourth Proportional to 379,082, 523,133.16 and 228,208.16

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Solution

The fourth proportional to 379,082, 523,133.16 and 228,208.16 is: 314,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,082 : 523,133.16 = 228,208.16 : x
  2. Step 2: Convert to fraction form
    379,082/523,133.16 = 228,208.16/x
  3. Step 3: Cross multiply
    379,082x = 523,133.16 × 228,208.16
  4. Step 4: Simplify right side
    379,082x = 119,383,255,878.59
  5. Step 5: Solve for x
    x = 119,383,255,878.59/379,082
  6. Step 6: Final answer
    x = 314,927.26

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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.