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Finding the Fourth Proportional to 319,912.74, 480,164.31 and 162,251.91

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Solution

The fourth proportional to 319,912.74, 480,164.31 and 162,251.91 is: 243,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,912.74 : 480,164.31 = 162,251.91 : x
  2. Step 2: Convert to fraction form
    319,912.74/480,164.31 = 162,251.91/x
  3. Step 3: Cross multiply
    319,912.74x = 480,164.31 × 162,251.91
  4. Step 4: Simplify right side
    319,912.74x = 77,907,576,411.33
  5. Step 5: Solve for x
    x = 77,907,576,411.33/319,912.74
  6. Step 6: Final answer
    x = 243,527.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.