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Finding the Fourth Proportional to 217,274, 325,848.73 and 65,485.77

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Solution

The fourth proportional to 217,274, 325,848.73 and 65,485.77 is: 98,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,274 : 325,848.73 = 65,485.77 : x
  2. Step 2: Convert to fraction form
    217,274/325,848.73 = 65,485.77/x
  3. Step 3: Cross multiply
    217,274x = 325,848.73 × 65,485.77
  4. Step 4: Simplify right side
    217,274x = 21,338,454,660.14
  5. Step 5: Solve for x
    x = 21,338,454,660.14/217,274
  6. Step 6: Final answer
    x = 98,209.89

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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.