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Finding the Fourth Proportional to 345,958.24, 518,959.24 and 146,241.40

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Solution

The fourth proportional to 345,958.24, 518,959.24 and 146,241.40 is: 219,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,958.24 : 518,959.24 = 146,241.40 : x
  2. Step 2: Convert to fraction form
    345,958.24/518,959.24 = 146,241.40/x
  3. Step 3: Cross multiply
    345,958.24x = 518,959.24 × 146,241.40
  4. Step 4: Simplify right side
    345,958.24x = 75,893,325,800.54
  5. Step 5: Solve for x
    x = 75,893,325,800.54/345,958.24
  6. Step 6: Final answer
    x = 219,371.35

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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.