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Finding the Fourth Proportional to 308,719.15, 463,086.72 and 84,084.08

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Solution

The fourth proportional to 308,719.15, 463,086.72 and 84,084.08 is: 126,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,719.15 : 463,086.72 = 84,084.08 : x
  2. Step 2: Convert to fraction form
    308,719.15/463,086.72 = 84,084.08/x
  3. Step 3: Cross multiply
    308,719.15x = 463,086.72 × 84,084.08
  4. Step 4: Simplify right side
    308,719.15x = 38,938,218,495.98
  5. Step 5: Solve for x
    x = 38,938,218,495.98/308,719.15
  6. Step 6: Final answer
    x = 126,128.29

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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.