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Finding the Fourth Proportional to 300,814.86, 414,969.08 and 203,985.92

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Solution

The fourth proportional to 300,814.86, 414,969.08 and 203,985.92 is: 281,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.86 : 414,969.08 = 203,985.92 : x
  2. Step 2: Convert to fraction form
    300,814.86/414,969.08 = 203,985.92/x
  3. Step 3: Cross multiply
    300,814.86x = 414,969.08 × 203,985.92
  4. Step 4: Simplify right side
    300,814.86x = 84,647,849,555.35
  5. Step 5: Solve for x
    x = 84,647,849,555.35/300,814.86
  6. Step 6: Final answer
    x = 281,395.17

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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.