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Finding the Fourth Proportional to 379,709.24, 524,009.24 and 209,949.44

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Solution

The fourth proportional to 379,709.24, 524,009.24 and 209,949.44 is: 289,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,709.24 : 524,009.24 = 209,949.44 : x
  2. Step 2: Convert to fraction form
    379,709.24/524,009.24 = 209,949.44/x
  3. Step 3: Cross multiply
    379,709.24x = 524,009.24 × 209,949.44
  4. Step 4: Simplify right side
    379,709.24x = 110,015,446,492.83
  5. Step 5: Solve for x
    x = 110,015,446,492.83/379,709.24
  6. Step 6: Final answer
    x = 289,736.03

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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.