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Finding the Fourth Proportional to 319,141.22, 476,375.84 and 281,308.34

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Solution

The fourth proportional to 319,141.22, 476,375.84 and 281,308.34 is: 419,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,141.22 : 476,375.84 = 281,308.34 : x
  2. Step 2: Convert to fraction form
    319,141.22/476,375.84 = 281,308.34/x
  3. Step 3: Cross multiply
    319,141.22x = 476,375.84 × 281,308.34
  4. Step 4: Simplify right side
    319,141.22x = 134,008,498,693.69
  5. Step 5: Solve for x
    x = 134,008,498,693.69/319,141.22
  6. Step 6: Final answer
    x = 419,903.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.