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Finding the Fourth Proportional to 300,274.34, 414,375.02 and 164,306.72

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Solution

The fourth proportional to 300,274.34, 414,375.02 and 164,306.72 is: 226,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,274.34 : 414,375.02 = 164,306.72 : x
  2. Step 2: Convert to fraction form
    300,274.34/414,375.02 = 164,306.72/x
  3. Step 3: Cross multiply
    300,274.34x = 414,375.02 × 164,306.72
  4. Step 4: Simplify right side
    300,274.34x = 68,084,600,386.13
  5. Step 5: Solve for x
    x = 68,084,600,386.13/300,274.34
  6. Step 6: Final answer
    x = 226,741.32

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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.