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Finding the Fourth Proportional to 252,843.40, 378,827.70 and 164,051.20

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Solution

The fourth proportional to 252,843.40, 378,827.70 and 164,051.20 is: 245,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,843.40 : 378,827.70 = 164,051.20 : x
  2. Step 2: Convert to fraction form
    252,843.40/378,827.70 = 164,051.20/x
  3. Step 3: Cross multiply
    252,843.40x = 378,827.70 × 164,051.20
  4. Step 4: Simplify right side
    252,843.40x = 62,147,138,778.24
  5. Step 5: Solve for x
    x = 62,147,138,778.24/252,843.40
  6. Step 6: Final answer
    x = 245,793.00

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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.