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Finding the Fourth Proportional to 381,062.42, 525,828.16 and 219,969.37

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Solution

The fourth proportional to 381,062.42, 525,828.16 and 219,969.37 is: 303,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,062.42 : 525,828.16 = 219,969.37 : x
  2. Step 2: Convert to fraction form
    381,062.42/525,828.16 = 219,969.37/x
  3. Step 3: Cross multiply
    381,062.42x = 525,828.16 × 219,969.37
  4. Step 4: Simplify right side
    381,062.42x = 115,666,088,778.38
  5. Step 5: Solve for x
    x = 115,666,088,778.38/381,062.42
  6. Step 6: Final answer
    x = 303,535.80

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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.