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Finding the Fourth Proportional to 414,478.88, 620,904.76 and 214,929.72

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Solution

The fourth proportional to 414,478.88, 620,904.76 and 214,929.72 is: 321,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,478.88 : 620,904.76 = 214,929.72 : x
  2. Step 2: Convert to fraction form
    414,478.88/620,904.76 = 214,929.72/x
  3. Step 3: Cross multiply
    414,478.88x = 620,904.76 × 214,929.72
  4. Step 4: Simplify right side
    414,478.88x = 133,450,886,213.47
  5. Step 5: Solve for x
    x = 133,450,886,213.47/414,478.88
  6. Step 6: Final answer
    x = 321,972.71

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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.