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Finding the Fourth Proportional to 300,470.72, 414,649.94 and 164,505.74

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Solution

The fourth proportional to 300,470.72, 414,649.94 and 164,505.74 is: 227,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,470.72 : 414,649.94 = 164,505.74 : x
  2. Step 2: Convert to fraction form
    300,470.72/414,649.94 = 164,505.74/x
  3. Step 3: Cross multiply
    300,470.72x = 414,649.94 × 164,505.74
  4. Step 4: Simplify right side
    300,470.72x = 68,212,292,324.88
  5. Step 5: Solve for x
    x = 68,212,292,324.88/300,470.72
  6. Step 6: Final answer
    x = 227,018.10

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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.