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Finding the Fourth Proportional to 381,074.72, 525,762.08 and 219,908.48

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Solution

The fourth proportional to 381,074.72, 525,762.08 and 219,908.48 is: 303,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,074.72 : 525,762.08 = 219,908.48 : x
  2. Step 2: Convert to fraction form
    381,074.72/525,762.08 = 219,908.48/x
  3. Step 3: Cross multiply
    381,074.72x = 525,762.08 × 219,908.48
  4. Step 4: Simplify right side
    381,074.72x = 115,619,539,854.44
  5. Step 5: Solve for x
    x = 115,619,539,854.44/381,074.72
  6. Step 6: Final answer
    x = 303,403.86

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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.