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Finding the Fourth Proportional to 414,007.86, 620,854.19 and 271,815.11

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Solution

The fourth proportional to 414,007.86, 620,854.19 and 271,815.11 is: 407,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,007.86 : 620,854.19 = 271,815.11 : x
  2. Step 2: Convert to fraction form
    414,007.86/620,854.19 = 271,815.11/x
  3. Step 3: Cross multiply
    414,007.86x = 620,854.19 × 271,815.11
  4. Step 4: Simplify right side
    414,007.86x = 168,757,545,485.46
  5. Step 5: Solve for x
    x = 168,757,545,485.46/414,007.86
  6. Step 6: Final answer
    x = 407,619.18

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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.