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Finding the Fourth Proportional to 315,575.44, 435,476.31 and 179,642.47

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Solution

The fourth proportional to 315,575.44, 435,476.31 and 179,642.47 is: 247,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,575.44 : 435,476.31 = 179,642.47 : x
  2. Step 2: Convert to fraction form
    315,575.44/435,476.31 = 179,642.47/x
  3. Step 3: Cross multiply
    315,575.44x = 435,476.31 × 179,642.47
  4. Step 4: Simplify right side
    315,575.44x = 78,230,039,954.89
  5. Step 5: Solve for x
    x = 78,230,039,954.89/315,575.44
  6. Step 6: Final answer
    x = 247,896.48

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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.