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Finding the Fourth Proportional to 382,939.82, 528,527.79 and 221,794.82

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Solution

The fourth proportional to 382,939.82, 528,527.79 and 221,794.82 is: 306,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,939.82 : 528,527.79 = 221,794.82 : x
  2. Step 2: Convert to fraction form
    382,939.82/528,527.79 = 221,794.82/x
  3. Step 3: Cross multiply
    382,939.82x = 528,527.79 × 221,794.82
  4. Step 4: Simplify right side
    382,939.82x = 117,224,723,405.41
  5. Step 5: Solve for x
    x = 117,224,723,405.41/382,939.82
  6. Step 6: Final answer
    x = 306,117.88

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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.