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Finding the Fourth Proportional to 230,485.76, 317,984.64 and 154,914.56

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Solution

The fourth proportional to 230,485.76, 317,984.64 and 154,914.56 is: 213,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,485.76 : 317,984.64 = 154,914.56 : x
  2. Step 2: Convert to fraction form
    230,485.76/317,984.64 = 154,914.56/x
  3. Step 3: Cross multiply
    230,485.76x = 317,984.64 × 154,914.56
  4. Step 4: Simplify right side
    230,485.76x = 49,260,450,592.36
  5. Step 5: Solve for x
    x = 49,260,450,592.36/230,485.76
  6. Step 6: Final answer
    x = 213,724.49

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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.