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Finding the Fourth Proportional to 310,812.13, 428,958.72 and 174,851.80

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Solution

The fourth proportional to 310,812.13, 428,958.72 and 174,851.80 is: 241,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,812.13 : 428,958.72 = 174,851.80 : x
  2. Step 2: Convert to fraction form
    310,812.13/428,958.72 = 174,851.80/x
  3. Step 3: Cross multiply
    310,812.13x = 428,958.72 × 174,851.80
  4. Step 4: Simplify right side
    310,812.13x = 75,004,204,317.70
  5. Step 5: Solve for x
    x = 75,004,204,317.70/310,812.13
  6. Step 6: Final answer
    x = 241,316.85

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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.