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Finding the Fourth Proportional to 300,275.68, 414,386.48 and 166,141.92

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Solution

The fourth proportional to 300,275.68, 414,386.48 and 166,141.92 is: 229,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,275.68 : 414,386.48 = 166,141.92 : x
  2. Step 2: Convert to fraction form
    300,275.68/414,386.48 = 166,141.92/x
  3. Step 3: Cross multiply
    300,275.68x = 414,386.48 × 166,141.92
  4. Step 4: Simplify right side
    300,275.68x = 68,846,965,409.24
  5. Step 5: Solve for x
    x = 68,846,965,409.24/300,275.68
  6. Step 6: Final answer
    x = 229,279.19

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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.