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Finding the Fourth Proportional to 304,990.52, 420,786.09 and 184,085.87

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Solution

The fourth proportional to 304,990.52, 420,786.09 and 184,085.87 is: 253,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,990.52 : 420,786.09 = 184,085.87 : x
  2. Step 2: Convert to fraction form
    304,990.52/420,786.09 = 184,085.87/x
  3. Step 3: Cross multiply
    304,990.52x = 420,786.09 × 184,085.87
  4. Step 4: Simplify right side
    304,990.52x = 77,460,771,357.62
  5. Step 5: Solve for x
    x = 77,460,771,357.62/304,990.52
  6. Step 6: Final answer
    x = 253,977.64

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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.