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Finding the Fourth Proportional to 408,548.40, 613,478.70 and 308,821.20

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Solution

The fourth proportional to 408,548.40, 613,478.70 and 308,821.20 is: 463,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,548.40 : 613,478.70 = 308,821.20 : x
  2. Step 2: Convert to fraction form
    408,548.40/613,478.70 = 308,821.20/x
  3. Step 3: Cross multiply
    408,548.40x = 613,478.70 × 308,821.20
  4. Step 4: Simplify right side
    408,548.40x = 189,455,228,308.44
  5. Step 5: Solve for x
    x = 189,455,228,308.44/408,548.40
  6. Step 6: Final answer
    x = 463,727.75

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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.