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Finding the Fourth Proportional to 310,914.66, 429,024.09 and 196,150.02

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Solution

The fourth proportional to 310,914.66, 429,024.09 and 196,150.02 is: 270,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,914.66 : 429,024.09 = 196,150.02 : x
  2. Step 2: Convert to fraction form
    310,914.66/429,024.09 = 196,150.02/x
  3. Step 3: Cross multiply
    310,914.66x = 429,024.09 × 196,150.02
  4. Step 4: Simplify right side
    310,914.66x = 84,153,083,833.98
  5. Step 5: Solve for x
    x = 84,153,083,833.98/310,914.66
  6. Step 6: Final answer
    x = 270,662.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.