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Finding the Fourth Proportional to 379,910.84, 524,305.43 and 216,571.24

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Solution

The fourth proportional to 379,910.84, 524,305.43 and 216,571.24 is: 298,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,910.84 : 524,305.43 = 216,571.24 : x
  2. Step 2: Convert to fraction form
    379,910.84/524,305.43 = 216,571.24/x
  3. Step 3: Cross multiply
    379,910.84x = 524,305.43 × 216,571.24
  4. Step 4: Simplify right side
    379,910.84x = 113,549,477,113.83
  5. Step 5: Solve for x
    x = 113,549,477,113.83/379,910.84
  6. Step 6: Final answer
    x = 298,884.54

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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.