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Finding the Fourth Proportional to 414,948.40, 622,276.80 and 190,416.40

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Solution

The fourth proportional to 414,948.40, 622,276.80 and 190,416.40 is: 285,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,948.40 : 622,276.80 = 190,416.40 : x
  2. Step 2: Convert to fraction form
    414,948.40/622,276.80 = 190,416.40/x
  3. Step 3: Cross multiply
    414,948.40x = 622,276.80 × 190,416.40
  4. Step 4: Simplify right side
    414,948.40x = 118,491,708,059.52
  5. Step 5: Solve for x
    x = 118,491,708,059.52/414,948.40
  6. Step 6: Final answer
    x = 285,557.69

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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.