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Finding the Fourth Proportional to 414,289.72, 621,040.86 and 264,108.52

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Solution

The fourth proportional to 414,289.72, 621,040.86 and 264,108.52 is: 395,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,289.72 : 621,040.86 = 264,108.52 : x
  2. Step 2: Convert to fraction form
    414,289.72/621,040.86 = 264,108.52/x
  3. Step 3: Cross multiply
    414,289.72x = 621,040.86 × 264,108.52
  4. Step 4: Simplify right side
    414,289.72x = 164,022,182,394.13
  5. Step 5: Solve for x
    x = 164,022,182,394.13/414,289.72
  6. Step 6: Final answer
    x = 395,911.78

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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.