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Finding the Fourth Proportional to 320,208.45, 480,304.40 and 104,065.97

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Solution

The fourth proportional to 320,208.45, 480,304.40 and 104,065.97 is: 156,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,208.45 : 480,304.40 = 104,065.97 : x
  2. Step 2: Convert to fraction form
    320,208.45/480,304.40 = 104,065.97/x
  3. Step 3: Cross multiply
    320,208.45x = 480,304.40 × 104,065.97
  4. Step 4: Simplify right side
    320,208.45x = 49,983,343,110.25
  5. Step 5: Solve for x
    x = 49,983,343,110.25/320,208.45
  6. Step 6: Final answer
    x = 156,096.27

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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.