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Finding the Fourth Proportional to 345,741, 518,815.62 and 146,048.46

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Solution

The fourth proportional to 345,741, 518,815.62 and 146,048.46 is: 219,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,741 : 518,815.62 = 146,048.46 : x
  2. Step 2: Convert to fraction form
    345,741/518,815.62 = 146,048.46/x
  3. Step 3: Cross multiply
    345,741x = 518,815.62 × 146,048.46
  4. Step 4: Simplify right side
    345,741x = 75,772,222,324.95
  5. Step 5: Solve for x
    x = 75,772,222,324.95/345,741
  6. Step 6: Final answer
    x = 219,158.91

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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.