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Finding the Fourth Proportional to 300,686.66, 414,957.92 and 164,720.57

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Solution

The fourth proportional to 300,686.66, 414,957.92 and 164,720.57 is: 227,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,686.66 : 414,957.92 = 164,720.57 : x
  2. Step 2: Convert to fraction form
    300,686.66/414,957.92 = 164,720.57/x
  3. Step 3: Cross multiply
    300,686.66x = 414,957.92 × 164,720.57
  4. Step 4: Simplify right side
    300,686.66x = 68,352,104,383.82
  5. Step 5: Solve for x
    x = 68,352,104,383.82/300,686.66
  6. Step 6: Final answer
    x = 227,320.04

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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.