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Finding the Fourth Proportional to 308,986.60, 463,220.70 and 161,242.60

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Solution

The fourth proportional to 308,986.60, 463,220.70 and 161,242.60 is: 241,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,986.60 : 463,220.70 = 161,242.60 : x
  2. Step 2: Convert to fraction form
    308,986.60/463,220.70 = 161,242.60/x
  3. Step 3: Cross multiply
    308,986.60x = 463,220.70 × 161,242.60
  4. Step 4: Simplify right side
    308,986.60x = 74,690,910,041.82
  5. Step 5: Solve for x
    x = 74,690,910,041.82/308,986.60
  6. Step 6: Final answer
    x = 241,728.64

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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.