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Finding the Fourth Proportional to 310,236.48, 428,172.60 and 189,447.78

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Solution

The fourth proportional to 310,236.48, 428,172.60 and 189,447.78 is: 261,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,236.48 : 428,172.60 = 189,447.78 : x
  2. Step 2: Convert to fraction form
    310,236.48/428,172.60 = 189,447.78/x
  3. Step 3: Cross multiply
    310,236.48x = 428,172.60 × 189,447.78
  4. Step 4: Simplify right side
    310,236.48x = 81,116,348,526.83
  5. Step 5: Solve for x
    x = 81,116,348,526.83/310,236.48
  6. Step 6: Final answer
    x = 261,466.18

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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.