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Finding the Fourth Proportional to 457,351.59, 685,661.04 and 217,345.05

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Solution

The fourth proportional to 457,351.59, 685,661.04 and 217,345.05 is: 325,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,351.59 : 685,661.04 = 217,345.05 : x
  2. Step 2: Convert to fraction form
    457,351.59/685,661.04 = 217,345.05/x
  3. Step 3: Cross multiply
    457,351.59x = 685,661.04 × 217,345.05
  4. Step 4: Simplify right side
    457,351.59x = 149,025,033,021.85
  5. Step 5: Solve for x
    x = 149,025,033,021.85/457,351.59
  6. Step 6: Final answer
    x = 325,843.48

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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.