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Finding the Fourth Proportional to 300,246.78, 414,336.99 and 164,279.16

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Solution

The fourth proportional to 300,246.78, 414,336.99 and 164,279.16 is: 226,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,246.78 : 414,336.99 = 164,279.16 : x
  2. Step 2: Convert to fraction form
    300,246.78/414,336.99 = 164,279.16/x
  3. Step 3: Cross multiply
    300,246.78x = 414,336.99 × 164,279.16
  4. Step 4: Simplify right side
    300,246.78x = 68,066,932,674.13
  5. Step 5: Solve for x
    x = 68,066,932,674.13/300,246.78
  6. Step 6: Final answer
    x = 226,703.29

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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.