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Finding the Fourth Proportional to 300,605.16, 413,890.92 and 255,189

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Solution

The fourth proportional to 300,605.16, 413,890.92 and 255,189 is: 351,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,605.16 : 413,890.92 = 255,189 : x
  2. Step 2: Convert to fraction form
    300,605.16/413,890.92 = 255,189/x
  3. Step 3: Cross multiply
    300,605.16x = 413,890.92 × 255,189
  4. Step 4: Simplify right side
    300,605.16x = 105,620,409,983.88
  5. Step 5: Solve for x
    x = 105,620,409,983.88/300,605.16
  6. Step 6: Final answer
    x = 351,359.27

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1.5x scale

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.