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Finding the Fourth Proportional to 300,106.88, 414,101.48 and 172,757.86

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Solution

The fourth proportional to 300,106.88, 414,101.48 and 172,757.86 is: 238,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,106.88 : 414,101.48 = 172,757.86 : x
  2. Step 2: Convert to fraction form
    300,106.88/414,101.48 = 172,757.86/x
  3. Step 3: Cross multiply
    300,106.88x = 414,101.48 × 172,757.86
  4. Step 4: Simplify right side
    300,106.88x = 71,539,285,507.63
  5. Step 5: Solve for x
    x = 71,539,285,507.63/300,106.88
  6. Step 6: Final answer
    x = 238,379.36

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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.