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Finding the Fourth Proportional to 308,783.70, 463,308.01 and 119,377.09

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Solution

The fourth proportional to 308,783.70, 463,308.01 and 119,377.09 is: 179,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,783.70 : 463,308.01 = 119,377.09 : x
  2. Step 2: Convert to fraction form
    308,783.70/463,308.01 = 119,377.09/x
  3. Step 3: Cross multiply
    308,783.70x = 463,308.01 × 119,377.09
  4. Step 4: Simplify right side
    308,783.70x = 55,308,359,690.95
  5. Step 5: Solve for x
    x = 55,308,359,690.95/308,783.70
  6. Step 6: Final answer
    x = 179,116.84

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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.