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Finding the Fourth Proportional to 284,964.80, 427,447.20 and 118,731.20

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Solution

The fourth proportional to 284,964.80, 427,447.20 and 118,731.20 is: 178,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,964.80 : 427,447.20 = 118,731.20 : x
  2. Step 2: Convert to fraction form
    284,964.80/427,447.20 = 118,731.20/x
  3. Step 3: Cross multiply
    284,964.80x = 427,447.20 × 118,731.20
  4. Step 4: Simplify right side
    284,964.80x = 50,751,318,992.64
  5. Step 5: Solve for x
    x = 50,751,318,992.64/284,964.80
  6. Step 6: Final answer
    x = 178,096.80

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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.