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Finding the Fourth Proportional to 414,124.80, 621,318.24 and 147,879.36

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Solution

The fourth proportional to 414,124.80, 621,318.24 and 147,879.36 is: 221,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,124.80 : 621,318.24 = 147,879.36 : x
  2. Step 2: Convert to fraction form
    414,124.80/621,318.24 = 147,879.36/x
  3. Step 3: Cross multiply
    414,124.80x = 621,318.24 × 147,879.36
  4. Step 4: Simplify right side
    414,124.80x = 91,880,143,687.53
  5. Step 5: Solve for x
    x = 91,880,143,687.53/414,124.80
  6. Step 6: Final answer
    x = 221,865.83

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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.