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Finding the Fourth Proportional to 325,222.64, 487,833.96 and 214,388.72

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Solution

The fourth proportional to 325,222.64, 487,833.96 and 214,388.72 is: 321,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,222.64 : 487,833.96 = 214,388.72 : x
  2. Step 2: Convert to fraction form
    325,222.64/487,833.96 = 214,388.72/x
  3. Step 3: Cross multiply
    325,222.64x = 487,833.96 × 214,388.72
  4. Step 4: Simplify right side
    325,222.64x = 104,586,095,817.76
  5. Step 5: Solve for x
    x = 104,586,095,817.76/325,222.64
  6. Step 6: Final answer
    x = 321,583.08

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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.