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Finding the Fourth Proportional to 305,917.08, 421,995.42 and 284,267.64

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Solution

The fourth proportional to 305,917.08, 421,995.42 and 284,267.64 is: 392,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,917.08 : 421,995.42 = 284,267.64 : x
  2. Step 2: Convert to fraction form
    305,917.08/421,995.42 = 284,267.64/x
  3. Step 3: Cross multiply
    305,917.08x = 421,995.42 × 284,267.64
  4. Step 4: Simplify right side
    305,917.08x = 119,959,642,134.21
  5. Step 5: Solve for x
    x = 119,959,642,134.21/305,917.08
  6. Step 6: Final answer
    x = 392,131.23

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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.