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Finding the Fourth Proportional to 447,048.20, 616,879.86 and 256,069.64

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Solution

The fourth proportional to 447,048.20, 616,879.86 and 256,069.64 is: 353,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,048.20 : 616,879.86 = 256,069.64 : x
  2. Step 2: Convert to fraction form
    447,048.20/616,879.86 = 256,069.64/x
  3. Step 3: Cross multiply
    447,048.20x = 616,879.86 × 256,069.64
  4. Step 4: Simplify right side
    447,048.20x = 157,964,203,673.45
  5. Step 5: Solve for x
    x = 157,964,203,673.45/447,048.20
  6. Step 6: Final answer
    x = 353,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.