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Finding the Fourth Proportional to 414,095.54, 620,509.73 and 278,658.04

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Solution

The fourth proportional to 414,095.54, 620,509.73 and 278,658.04 is: 417,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,095.54 : 620,509.73 = 278,658.04 : x
  2. Step 2: Convert to fraction form
    414,095.54/620,509.73 = 278,658.04/x
  3. Step 3: Cross multiply
    414,095.54x = 620,509.73 × 278,658.04
  4. Step 4: Simplify right side
    414,095.54x = 172,910,025,162.73
  5. Step 5: Solve for x
    x = 172,910,025,162.73/414,095.54
  6. Step 6: Final answer
    x = 417,560.70

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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.