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Finding the Fourth Proportional to 386,705.56, 580,034.94 and 229,931.68

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Solution

The fourth proportional to 386,705.56, 580,034.94 and 229,931.68 is: 344,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,705.56 : 580,034.94 = 229,931.68 : x
  2. Step 2: Convert to fraction form
    386,705.56/580,034.94 = 229,931.68/x
  3. Step 3: Cross multiply
    386,705.56x = 580,034.94 × 229,931.68
  4. Step 4: Simplify right side
    386,705.56x = 133,368,408,212.90
  5. Step 5: Solve for x
    x = 133,368,408,212.90/386,705.56
  6. Step 6: Final answer
    x = 344,883.61

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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.