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Finding the Fourth Proportional to 305,937, 422,193.06 and 171,801

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Solution

The fourth proportional to 305,937, 422,193.06 and 171,801 is: 237,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,937 : 422,193.06 = 171,801 : x
  2. Step 2: Convert to fraction form
    305,937/422,193.06 = 171,801/x
  3. Step 3: Cross multiply
    305,937x = 422,193.06 × 171,801
  4. Step 4: Simplify right side
    305,937x = 72,533,189,901.06
  5. Step 5: Solve for x
    x = 72,533,189,901.06/305,937
  6. Step 6: Final answer
    x = 237,085.38

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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.