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Finding the Fourth Proportional to 300,434.61, 414,645.30 and 171,372.45

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Solution

The fourth proportional to 300,434.61, 414,645.30 and 171,372.45 is: 236,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,434.61 : 414,645.30 = 171,372.45 : x
  2. Step 2: Convert to fraction form
    300,434.61/414,645.30 = 171,372.45/x
  3. Step 3: Cross multiply
    300,434.61x = 414,645.30 × 171,372.45
  4. Step 4: Simplify right side
    300,434.61x = 71,058,780,941.99
  5. Step 5: Solve for x
    x = 71,058,780,941.99/300,434.61
  6. Step 6: Final answer
    x = 236,519.96

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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.