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Finding the Fourth Proportional to 305,498, 421,588.68 and 171,362

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Solution

The fourth proportional to 305,498, 421,588.68 and 171,362 is: 236,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,498 : 421,588.68 = 171,362 : x
  2. Step 2: Convert to fraction form
    305,498/421,588.68 = 171,362/x
  3. Step 3: Cross multiply
    305,498x = 421,588.68 × 171,362
  4. Step 4: Simplify right side
    305,498x = 72,244,279,382.16
  5. Step 5: Solve for x
    x = 72,244,279,382.16/305,498
  6. Step 6: Final answer
    x = 236,480.37

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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.