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Finding the Fourth Proportional to 356,306.89, 491,703.72 and 195,164.63

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Solution

The fourth proportional to 356,306.89, 491,703.72 and 195,164.63 is: 269,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,306.89 : 491,703.72 = 195,164.63 : x
  2. Step 2: Convert to fraction form
    356,306.89/491,703.72 = 195,164.63/x
  3. Step 3: Cross multiply
    356,306.89x = 491,703.72 × 195,164.63
  4. Step 4: Simplify right side
    356,306.89x = 95,963,176,892.05
  5. Step 5: Solve for x
    x = 95,963,176,892.05/356,306.89
  6. Step 6: Final answer
    x = 269,327.31

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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.