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Finding the Fourth Proportional to 300,636.48, 414,784.80 and 200,051.52

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Solution

The fourth proportional to 300,636.48, 414,784.80 and 200,051.52 is: 276,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,636.48 : 414,784.80 = 200,051.52 : x
  2. Step 2: Convert to fraction form
    300,636.48/414,784.80 = 200,051.52/x
  3. Step 3: Cross multiply
    300,636.48x = 414,784.80 × 200,051.52
  4. Step 4: Simplify right side
    300,636.48x = 82,978,329,712.90
  5. Step 5: Solve for x
    x = 82,978,329,712.90/300,636.48
  6. Step 6: Final answer
    x = 276,008.85

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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.