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Finding the Fourth Proportional to 308,859.12, 463,293.56 and 121,869

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Solution

The fourth proportional to 308,859.12, 463,293.56 and 121,869 is: 182,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,859.12 : 463,293.56 = 121,869 : x
  2. Step 2: Convert to fraction form
    308,859.12/463,293.56 = 121,869/x
  3. Step 3: Cross multiply
    308,859.12x = 463,293.56 × 121,869
  4. Step 4: Simplify right side
    308,859.12x = 56,461,122,863.64
  5. Step 5: Solve for x
    x = 56,461,122,863.64/308,859.12
  6. Step 6: Final answer
    x = 182,805.43

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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.