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Finding the Fourth Proportional to 300,312.54, 414,418.86 and 164,343.06

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Solution

The fourth proportional to 300,312.54, 414,418.86 and 164,343.06 is: 226,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,312.54 : 414,418.86 = 164,343.06 : x
  2. Step 2: Convert to fraction form
    300,312.54/414,418.86 = 164,343.06/x
  3. Step 3: Cross multiply
    300,312.54x = 414,418.86 × 164,343.06
  4. Step 4: Simplify right side
    300,312.54x = 68,106,863,574.11
  5. Step 5: Solve for x
    x = 68,106,863,574.11/300,312.54
  6. Step 6: Final answer
    x = 226,786.61

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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.