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Finding the Fourth Proportional to 308,052.60, 462,078.90 and 223,415.70

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Solution

The fourth proportional to 308,052.60, 462,078.90 and 223,415.70 is: 335,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.60 : 462,078.90 = 223,415.70 : x
  2. Step 2: Convert to fraction form
    308,052.60/462,078.90 = 223,415.70/x
  3. Step 3: Cross multiply
    308,052.60x = 462,078.90 × 223,415.70
  4. Step 4: Simplify right side
    308,052.60x = 103,235,680,898.73
  5. Step 5: Solve for x
    x = 103,235,680,898.73/308,052.60
  6. Step 6: Final answer
    x = 335,123.55

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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.