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Finding the Fourth Proportional to 345,858.60, 518,940.38 and 146,316.68

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Solution

The fourth proportional to 345,858.60, 518,940.38 and 146,316.68 is: 219,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,858.60 : 518,940.38 = 146,316.68 : x
  2. Step 2: Convert to fraction form
    345,858.60/518,940.38 = 146,316.68/x
  3. Step 3: Cross multiply
    345,858.60x = 518,940.38 × 146,316.68
  4. Step 4: Simplify right side
    345,858.60x = 75,929,633,519.54
  5. Step 5: Solve for x
    x = 75,929,633,519.54/345,858.60
  6. Step 6: Final answer
    x = 219,539.53

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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.