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Finding the Fourth Proportional to 205,412.80, 308,349.60 and 122,353.60

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Solution

The fourth proportional to 205,412.80, 308,349.60 and 122,353.60 is: 183,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.80 : 308,349.60 = 122,353.60 : x
  2. Step 2: Convert to fraction form
    205,412.80/308,349.60 = 122,353.60/x
  3. Step 3: Cross multiply
    205,412.80x = 308,349.60 × 122,353.60
  4. Step 4: Simplify right side
    205,412.80x = 37,727,683,618.56
  5. Step 5: Solve for x
    x = 37,727,683,618.56/205,412.80
  6. Step 6: Final answer
    x = 183,667.64

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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.