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Finding the Fourth Proportional to 308,331.92, 462,217.20 and 118,671.20

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Solution

The fourth proportional to 308,331.92, 462,217.20 and 118,671.20 is: 177,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,331.92 : 462,217.20 = 118,671.20 : x
  2. Step 2: Convert to fraction form
    308,331.92/462,217.20 = 118,671.20/x
  3. Step 3: Cross multiply
    308,331.92x = 462,217.20 × 118,671.20
  4. Step 4: Simplify right side
    308,331.92x = 54,851,869,784.64
  5. Step 5: Solve for x
    x = 54,851,869,784.64/308,331.92
  6. Step 6: Final answer
    x = 177,898.77

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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.