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Finding the Fourth Proportional to 414,910.40, 622,826.40 and 257,316.80

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Solution

The fourth proportional to 414,910.40, 622,826.40 and 257,316.80 is: 386,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,910.40 : 622,826.40 = 257,316.80 : x
  2. Step 2: Convert to fraction form
    414,910.40/622,826.40 = 257,316.80/x
  3. Step 3: Cross multiply
    414,910.40x = 622,826.40 × 257,316.80
  4. Step 4: Simplify right side
    414,910.40x = 160,263,696,203.52
  5. Step 5: Solve for x
    x = 160,263,696,203.52/414,910.40
  6. Step 6: Final answer
    x = 386,260.98

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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.