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Finding the Fourth Proportional to 386,744.36, 580,144.48 and 161,878.64

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Solution

The fourth proportional to 386,744.36, 580,144.48 and 161,878.64 is: 242,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,744.36 : 580,144.48 = 161,878.64 : x
  2. Step 2: Convert to fraction form
    386,744.36/580,144.48 = 161,878.64/x
  3. Step 3: Cross multiply
    386,744.36x = 580,144.48 × 161,878.64
  4. Step 4: Simplify right side
    386,744.36x = 93,912,999,425.91
  5. Step 5: Solve for x
    x = 93,912,999,425.91/386,744.36
  6. Step 6: Final answer
    x = 242,829.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.