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Finding the Fourth Proportional to 414,287.34, 621,511.20 and 161,557.62

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Solution

The fourth proportional to 414,287.34, 621,511.20 and 161,557.62 is: 242,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,287.34 : 621,511.20 = 161,557.62 : x
  2. Step 2: Convert to fraction form
    414,287.34/621,511.20 = 161,557.62/x
  3. Step 3: Cross multiply
    414,287.34x = 621,511.20 × 161,557.62
  4. Step 4: Simplify right side
    414,287.34x = 100,409,870,275.34
  5. Step 5: Solve for x
    x = 100,409,870,275.34/414,287.34
  6. Step 6: Final answer
    x = 242,367.70

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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.