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Finding the Fourth Proportional to 303,656.50, 419,046 and 169,520.50

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Solution

The fourth proportional to 303,656.50, 419,046 and 169,520.50 is: 233,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,656.50 : 419,046 = 169,520.50 : x
  2. Step 2: Convert to fraction form
    303,656.50/419,046 = 169,520.50/x
  3. Step 3: Cross multiply
    303,656.50x = 419,046 × 169,520.50
  4. Step 4: Simplify right side
    303,656.50x = 71,036,887,443
  5. Step 5: Solve for x
    x = 71,036,887,443/303,656.50
  6. Step 6: Final answer
    x = 233,938.31

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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.