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Finding the Fourth Proportional to 308,124.40, 462,964.20 and 195,858.40

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Solution

The fourth proportional to 308,124.40, 462,964.20 and 195,858.40 is: 294,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,124.40 : 462,964.20 = 195,858.40 : x
  2. Step 2: Convert to fraction form
    308,124.40/462,964.20 = 195,858.40/x
  3. Step 3: Cross multiply
    308,124.40x = 462,964.20 × 195,858.40
  4. Step 4: Simplify right side
    308,124.40x = 90,675,427,469.28
  5. Step 5: Solve for x
    x = 90,675,427,469.28/308,124.40
  6. Step 6: Final answer
    x = 294,281.88

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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.