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Finding the Fourth Proportional to 217,410.40, 325,678.20 and 146,551.60

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Solution

The fourth proportional to 217,410.40, 325,678.20 and 146,551.60 is: 219,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,410.40 : 325,678.20 = 146,551.60 : x
  2. Step 2: Convert to fraction form
    217,410.40/325,678.20 = 146,551.60/x
  3. Step 3: Cross multiply
    217,410.40x = 325,678.20 × 146,551.60
  4. Step 4: Simplify right side
    217,410.40x = 47,728,661,295.12
  5. Step 5: Solve for x
    x = 47,728,661,295.12/217,410.40
  6. Step 6: Final answer
    x = 219,532.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.