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Finding the Fourth Proportional to 319,650.48, 440,868.42 and 204,940.08

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Solution

The fourth proportional to 319,650.48, 440,868.42 and 204,940.08 is: 282,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,650.48 : 440,868.42 = 204,940.08 : x
  2. Step 2: Convert to fraction form
    319,650.48/440,868.42 = 204,940.08/x
  3. Step 3: Cross multiply
    319,650.48x = 440,868.42 × 204,940.08
  4. Step 4: Simplify right side
    319,650.48x = 90,351,609,264.27
  5. Step 5: Solve for x
    x = 90,351,609,264.27/319,650.48
  6. Step 6: Final answer
    x = 282,657.51

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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.