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Finding the Fourth Proportional to 408,355.80, 613,116.90 and 309,211.80

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Solution

The fourth proportional to 408,355.80, 613,116.90 and 309,211.80 is: 464,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,355.80 : 613,116.90 = 309,211.80 : x
  2. Step 2: Convert to fraction form
    408,355.80/613,116.90 = 309,211.80/x
  3. Step 3: Cross multiply
    408,355.80x = 613,116.90 × 309,211.80
  4. Step 4: Simplify right side
    408,355.80x = 189,582,980,259.42
  5. Step 5: Solve for x
    x = 189,582,980,259.42/408,355.80
  6. Step 6: Final answer
    x = 464,259.31

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1.5x scale

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.