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Finding the Fourth Proportional to 308,056.56, 461,968.20 and 120,966

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Solution

The fourth proportional to 308,056.56, 461,968.20 and 120,966 is: 181,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,056.56 : 461,968.20 = 120,966 : x
  2. Step 2: Convert to fraction form
    308,056.56/461,968.20 = 120,966/x
  3. Step 3: Cross multiply
    308,056.56x = 461,968.20 × 120,966
  4. Step 4: Simplify right side
    308,056.56x = 55,882,445,281.20
  5. Step 5: Solve for x
    x = 55,882,445,281.20/308,056.56
  6. Step 6: Final answer
    x = 181,403.20

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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.