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Finding the Fourth Proportional to 308,966, 463,451.84 and 121,977.50

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Solution

The fourth proportional to 308,966, 463,451.84 and 121,977.50 is: 182,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,966 : 463,451.84 = 121,977.50 : x
  2. Step 2: Convert to fraction form
    308,966/463,451.84 = 121,977.50/x
  3. Step 3: Cross multiply
    308,966x = 463,451.84 × 121,977.50
  4. Step 4: Simplify right side
    308,966x = 56,530,696,813.60
  5. Step 5: Solve for x
    x = 56,530,696,813.60/308,966
  6. Step 6: Final answer
    x = 182,967.37

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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.