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Finding the Fourth Proportional to 414,670.40, 622,005.60 and 272,129.60

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Solution

The fourth proportional to 414,670.40, 622,005.60 and 272,129.60 is: 408,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,670.40 : 622,005.60 = 272,129.60 : x
  2. Step 2: Convert to fraction form
    414,670.40/622,005.60 = 272,129.60/x
  3. Step 3: Cross multiply
    414,670.40x = 622,005.60 × 272,129.60
  4. Step 4: Simplify right side
    414,670.40x = 169,266,135,125.76
  5. Step 5: Solve for x
    x = 169,266,135,125.76/414,670.40
  6. Step 6: Final answer
    x = 408,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.