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Finding the Fourth Proportional to 300,010.88, 414,011.52 and 165,872

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Solution

The fourth proportional to 300,010.88, 414,011.52 and 165,872 is: 228,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,010.88 : 414,011.52 = 165,872 : x
  2. Step 2: Convert to fraction form
    300,010.88/414,011.52 = 165,872/x
  3. Step 3: Cross multiply
    300,010.88x = 414,011.52 × 165,872
  4. Step 4: Simplify right side
    300,010.88x = 68,672,918,845.44
  5. Step 5: Solve for x
    x = 68,672,918,845.44/300,010.88
  6. Step 6: Final answer
    x = 228,901.43

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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.