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Finding the Fourth Proportional to 300,279.72, 414,379.62 and 164,313.12

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Solution

The fourth proportional to 300,279.72, 414,379.62 and 164,313.12 is: 226,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,279.72 : 414,379.62 = 164,313.12 : x
  2. Step 2: Convert to fraction form
    300,279.72/414,379.62 = 164,313.12/x
  3. Step 3: Cross multiply
    300,279.72x = 414,379.62 × 164,313.12
  4. Step 4: Simplify right side
    300,279.72x = 68,088,008,226.61
  5. Step 5: Solve for x
    x = 68,088,008,226.61/300,279.72
  6. Step 6: Final answer
    x = 226,748.61

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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.