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Finding the Fourth Proportional to 319,975.44, 480,066.84 and 109,615.20

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Solution

The fourth proportional to 319,975.44, 480,066.84 and 109,615.20 is: 164,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,975.44 : 480,066.84 = 109,615.20 : x
  2. Step 2: Convert to fraction form
    319,975.44/480,066.84 = 109,615.20/x
  3. Step 3: Cross multiply
    319,975.44x = 480,066.84 × 109,615.20
  4. Step 4: Simplify right side
    319,975.44x = 52,622,622,679.97
  5. Step 5: Solve for x
    x = 52,622,622,679.97/319,975.44
  6. Step 6: Final answer
    x = 164,458.32

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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.