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Finding the Fourth Proportional to 306,237.85, 422,597.17 and 168,415.59

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Solution

The fourth proportional to 306,237.85, 422,597.17 and 168,415.59 is: 232,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,237.85 : 422,597.17 = 168,415.59 : x
  2. Step 2: Convert to fraction form
    306,237.85/422,597.17 = 168,415.59/x
  3. Step 3: Cross multiply
    306,237.85x = 422,597.17 × 168,415.59
  4. Step 4: Simplify right side
    306,237.85x = 71,171,951,717.88
  5. Step 5: Solve for x
    x = 71,171,951,717.88/306,237.85
  6. Step 6: Final answer
    x = 232,407.43

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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.