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Finding the Fourth Proportional to 281,945.86, 388,978.53 and 179,975.14

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Solution

The fourth proportional to 281,945.86, 388,978.53 and 179,975.14 is: 248,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,945.86 : 388,978.53 = 179,975.14 : x
  2. Step 2: Convert to fraction form
    281,945.86/388,978.53 = 179,975.14/x
  3. Step 3: Cross multiply
    281,945.86x = 388,978.53 × 179,975.14
  4. Step 4: Simplify right side
    281,945.86x = 70,006,465,393.74
  5. Step 5: Solve for x
    x = 70,006,465,393.74/281,945.86
  6. Step 6: Final answer
    x = 248,297.55

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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.