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Finding the Fourth Proportional to 300,668.40, 414,828 and 173,326.32

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Solution

The fourth proportional to 300,668.40, 414,828 and 173,326.32 is: 239,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,668.40 : 414,828 = 173,326.32 : x
  2. Step 2: Convert to fraction form
    300,668.40/414,828 = 173,326.32/x
  3. Step 3: Cross multiply
    300,668.40x = 414,828 × 173,326.32
  4. Step 4: Simplify right side
    300,668.40x = 71,900,610,672.96
  5. Step 5: Solve for x
    x = 71,900,610,672.96/300,668.40
  6. Step 6: Final answer
    x = 239,135.91

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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.