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Finding the Fourth Proportional to 408,744.60, 613,116.90 and 309,211.80

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Solution

The fourth proportional to 408,744.60, 613,116.90 and 309,211.80 is: 463,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,744.60 : 613,116.90 = 309,211.80 : x
  2. Step 2: Convert to fraction form
    408,744.60/613,116.90 = 309,211.80/x
  3. Step 3: Cross multiply
    408,744.60x = 613,116.90 × 309,211.80
  4. Step 4: Simplify right side
    408,744.60x = 189,582,980,259.42
  5. Step 5: Solve for x
    x = 189,582,980,259.42/408,744.60
  6. Step 6: Final answer
    x = 463,817.70

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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.