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Finding the Fourth Proportional to 308,125.38, 461,881.89 and 214,434.30

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Solution

The fourth proportional to 308,125.38, 461,881.89 and 214,434.30 is: 321,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,125.38 : 461,881.89 = 214,434.30 : x
  2. Step 2: Convert to fraction form
    308,125.38/461,881.89 = 214,434.30/x
  3. Step 3: Cross multiply
    308,125.38x = 461,881.89 × 214,434.30
  4. Step 4: Simplify right side
    308,125.38x = 99,043,319,764.83
  5. Step 5: Solve for x
    x = 99,043,319,764.83/308,125.38
  6. Step 6: Final answer
    x = 321,438.37

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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.