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Finding the Fourth Proportional to 305,804, 422,009.76 and 171,711.20

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Solution

The fourth proportional to 305,804, 422,009.76 and 171,711.20 is: 236,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,804 : 422,009.76 = 171,711.20 : x
  2. Step 2: Convert to fraction form
    305,804/422,009.76 = 171,711.20/x
  3. Step 3: Cross multiply
    305,804x = 422,009.76 × 171,711.20
  4. Step 4: Simplify right side
    305,804x = 72,463,802,301.31
  5. Step 5: Solve for x
    x = 72,463,802,301.31/305,804
  6. Step 6: Final answer
    x = 236,961.59

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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.