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Finding the Fourth Proportional to 386,734.84, 580,078.80 and 229,960.96

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Solution

The fourth proportional to 386,734.84, 580,078.80 and 229,960.96 is: 344,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,734.84 : 580,078.80 = 229,960.96 : x
  2. Step 2: Convert to fraction form
    386,734.84/580,078.80 = 229,960.96/x
  3. Step 3: Cross multiply
    386,734.84x = 580,078.80 × 229,960.96
  4. Step 4: Simplify right side
    386,734.84x = 133,395,477,723.65
  5. Step 5: Solve for x
    x = 133,395,477,723.65/386,734.84
  6. Step 6: Final answer
    x = 344,927.49

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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.