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Finding the Fourth Proportional to 516,879.23, 713,188.82 and 301,977.78

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Solution

The fourth proportional to 516,879.23, 713,188.82 and 301,977.78 is: 416,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,879.23 : 713,188.82 = 301,977.78 : x
  2. Step 2: Convert to fraction form
    516,879.23/713,188.82 = 301,977.78/x
  3. Step 3: Cross multiply
    516,879.23x = 713,188.82 × 301,977.78
  4. Step 4: Simplify right side
    516,879.23x = 215,367,174,801.45
  5. Step 5: Solve for x
    x = 215,367,174,801.45/516,879.23
  6. Step 6: Final answer
    x = 416,668.27

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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.