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Finding the Fourth Proportional to 310,505.90, 465,640.64 and 203,861.33

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Solution

The fourth proportional to 310,505.90, 465,640.64 and 203,861.33 is: 305,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,505.90 : 465,640.64 = 203,861.33 : x
  2. Step 2: Convert to fraction form
    310,505.90/465,640.64 = 203,861.33/x
  3. Step 3: Cross multiply
    310,505.90x = 465,640.64 × 203,861.33
  4. Step 4: Simplify right side
    310,505.90x = 94,926,119,335.57
  5. Step 5: Solve for x
    x = 94,926,119,335.57/310,505.90
  6. Step 6: Final answer
    x = 305,714.39

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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.