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Finding the Fourth Proportional to 306,178.86, 422,533.86 and 170,207.58

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Solution

The fourth proportional to 306,178.86, 422,533.86 and 170,207.58 is: 234,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,178.86 : 422,533.86 = 170,207.58 : x
  2. Step 2: Convert to fraction form
    306,178.86/422,533.86 = 170,207.58/x
  3. Step 3: Cross multiply
    306,178.86x = 422,533.86 × 170,207.58
  4. Step 4: Simplify right side
    306,178.86x = 71,918,465,778.66
  5. Step 5: Solve for x
    x = 71,918,465,778.66/306,178.86
  6. Step 6: Final answer
    x = 234,890.37

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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.