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Finding the Fourth Proportional to 308,811.60, 462,871.80 and 131,288.40

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Solution

The fourth proportional to 308,811.60, 462,871.80 and 131,288.40 is: 196,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,811.60 : 462,871.80 = 131,288.40 : x
  2. Step 2: Convert to fraction form
    308,811.60/462,871.80 = 131,288.40/x
  3. Step 3: Cross multiply
    308,811.60x = 462,871.80 × 131,288.40
  4. Step 4: Simplify right side
    308,811.60x = 60,769,698,027.12
  5. Step 5: Solve for x
    x = 60,769,698,027.12/308,811.60
  6. Step 6: Final answer
    x = 196,785.67

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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.