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Finding the Fourth Proportional to 300,135.80, 414,223.13 and 172,836.20

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Solution

The fourth proportional to 300,135.80, 414,223.13 and 172,836.20 is: 238,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,135.80 : 414,223.13 = 172,836.20 : x
  2. Step 2: Convert to fraction form
    300,135.80/414,223.13 = 172,836.20/x
  3. Step 3: Cross multiply
    300,135.80x = 414,223.13 × 172,836.20
  4. Step 4: Simplify right side
    300,135.80x = 71,592,751,741.31
  5. Step 5: Solve for x
    x = 71,592,751,741.31/300,135.80
  6. Step 6: Final answer
    x = 238,534.53

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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.