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Finding the Fourth Proportional to 248,405.20, 342,844.04 and 146,424.78

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Solution

The fourth proportional to 248,405.20, 342,844.04 and 146,424.78 is: 202,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,405.20 : 342,844.04 = 146,424.78 : x
  2. Step 2: Convert to fraction form
    248,405.20/342,844.04 = 146,424.78/x
  3. Step 3: Cross multiply
    248,405.20x = 342,844.04 × 146,424.78
  4. Step 4: Simplify right side
    248,405.20x = 50,200,863,497.37
  5. Step 5: Solve for x
    x = 50,200,863,497.37/248,405.20
  6. Step 6: Final answer
    x = 202,092.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.