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Finding the Fourth Proportional to 204,494.40, 306,751.20 and 64,257.60

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Solution

The fourth proportional to 204,494.40, 306,751.20 and 64,257.60 is: 96,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.40 : 306,751.20 = 64,257.60 : x
  2. Step 2: Convert to fraction form
    204,494.40/306,751.20 = 64,257.60/x
  3. Step 3: Cross multiply
    204,494.40x = 306,751.20 × 64,257.60
  4. Step 4: Simplify right side
    204,494.40x = 19,711,095,909.12
  5. Step 5: Solve for x
    x = 19,711,095,909.12/204,494.40
  6. Step 6: Final answer
    x = 96,389.42

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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.