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Finding the Fourth Proportional to 379,728, 569,219.40 and 211,329

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Solution

The fourth proportional to 379,728, 569,219.40 and 211,329 is: 316,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,728 : 569,219.40 = 211,329 : x
  2. Step 2: Convert to fraction form
    379,728/569,219.40 = 211,329/x
  3. Step 3: Cross multiply
    379,728x = 569,219.40 × 211,329
  4. Step 4: Simplify right side
    379,728x = 120,292,566,582.60
  5. Step 5: Solve for x
    x = 120,292,566,582.60/379,728
  6. Step 6: Final answer
    x = 316,786.14

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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.