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Finding the Fourth Proportional to 300,275.49, 414,385.43 and 164,321.49

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Solution

The fourth proportional to 300,275.49, 414,385.43 and 164,321.49 is: 226,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,275.49 : 414,385.43 = 164,321.49 : x
  2. Step 2: Convert to fraction form
    300,275.49/414,385.43 = 164,321.49/x
  3. Step 3: Cross multiply
    300,275.49x = 414,385.43 × 164,321.49
  4. Step 4: Simplify right side
    300,275.49x = 68,092,430,470.28
  5. Step 5: Solve for x
    x = 68,092,430,470.28/300,275.49
  6. Step 6: Final answer
    x = 226,766.53

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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.