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Finding the Fourth Proportional to 414,578.56, 621,906.72 and 165,280

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Solution

The fourth proportional to 414,578.56, 621,906.72 and 165,280 is: 247,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,578.56 : 621,906.72 = 165,280 : x
  2. Step 2: Convert to fraction form
    414,578.56/621,906.72 = 165,280/x
  3. Step 3: Cross multiply
    414,578.56x = 621,906.72 × 165,280
  4. Step 4: Simplify right side
    414,578.56x = 102,788,742,681.60
  5. Step 5: Solve for x
    x = 102,788,742,681.60/414,578.56
  6. Step 6: Final answer
    x = 247,935.50

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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.