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Finding the Fourth Proportional to 301,116.12, 415,540.20 and 166,980.12

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Solution

The fourth proportional to 301,116.12, 415,540.20 and 166,980.12 is: 230,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,116.12 : 415,540.20 = 166,980.12 : x
  2. Step 2: Convert to fraction form
    301,116.12/415,540.20 = 166,980.12/x
  3. Step 3: Cross multiply
    301,116.12x = 415,540.20 × 166,980.12
  4. Step 4: Simplify right side
    301,116.12x = 69,386,952,460.82
  5. Step 5: Solve for x
    x = 69,386,952,460.82/301,116.12
  6. Step 6: Final answer
    x = 230,432.54

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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.