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Finding the Fourth Proportional to 323,940.74, 485,987.65 and 146,447.46

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Solution

The fourth proportional to 323,940.74, 485,987.65 and 146,447.46 is: 219,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,940.74 : 485,987.65 = 146,447.46 : x
  2. Step 2: Convert to fraction form
    323,940.74/485,987.65 = 146,447.46/x
  3. Step 3: Cross multiply
    323,940.74x = 485,987.65 × 146,447.46
  4. Step 4: Simplify right side
    323,940.74x = 71,171,656,567.75
  5. Step 5: Solve for x
    x = 71,171,656,567.75/323,940.74
  6. Step 6: Final answer
    x = 219,705.79

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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.