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Finding the Fourth Proportional to 308,144.88, 462,213.60 and 97,784.64

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Solution

The fourth proportional to 308,144.88, 462,213.60 and 97,784.64 is: 146,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,144.88 : 462,213.60 = 97,784.64 : x
  2. Step 2: Convert to fraction form
    308,144.88/462,213.60 = 97,784.64/x
  3. Step 3: Cross multiply
    308,144.88x = 462,213.60 × 97,784.64
  4. Step 4: Simplify right side
    308,144.88x = 45,197,390,479.10
  5. Step 5: Solve for x
    x = 45,197,390,479.10/308,144.88
  6. Step 6: Final answer
    x = 146,675.78

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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.