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Finding the Fourth Proportional to 217,458.40, 325,784.40 and 123,685.60

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Solution

The fourth proportional to 217,458.40, 325,784.40 and 123,685.60 is: 185,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,458.40 : 325,784.40 = 123,685.60 : x
  2. Step 2: Convert to fraction form
    217,458.40/325,784.40 = 123,685.60/x
  3. Step 3: Cross multiply
    217,458.40x = 325,784.40 × 123,685.60
  4. Step 4: Simplify right side
    217,458.40x = 40,294,838,984.64
  5. Step 5: Solve for x
    x = 40,294,838,984.64/217,458.40
  6. Step 6: Final answer
    x = 185,299.07

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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.