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Finding the Fourth Proportional to 308,946.60, 463,074.30 and 131,423.40

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Solution

The fourth proportional to 308,946.60, 463,074.30 and 131,423.40 is: 196,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,946.60 : 463,074.30 = 131,423.40 : x
  2. Step 2: Convert to fraction form
    308,946.60/463,074.30 = 131,423.40/x
  3. Step 3: Cross multiply
    308,946.60x = 463,074.30 × 131,423.40
  4. Step 4: Simplify right side
    308,946.60x = 60,858,798,958.62
  5. Step 5: Solve for x
    x = 60,858,798,958.62/308,946.60
  6. Step 6: Final answer
    x = 196,988.08

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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.