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Finding the Fourth Proportional to 305,821.94, 422,034.28 and 171,685.94

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Solution

The fourth proportional to 305,821.94, 422,034.28 and 171,685.94 is: 236,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,821.94 : 422,034.28 = 171,685.94 : x
  2. Step 2: Convert to fraction form
    305,821.94/422,034.28 = 171,685.94/x
  3. Step 3: Cross multiply
    305,821.94x = 422,034.28 × 171,685.94
  4. Step 4: Simplify right side
    305,821.94x = 72,457,350,160.51
  5. Step 5: Solve for x
    x = 72,457,350,160.51/305,821.94
  6. Step 6: Final answer
    x = 236,926.59

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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.