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Finding the Fourth Proportional to 408,892.80, 613,922.40 and 309,748.80

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Solution

The fourth proportional to 408,892.80, 613,922.40 and 309,748.80 is: 465,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,892.80 : 613,922.40 = 309,748.80 : x
  2. Step 2: Convert to fraction form
    408,892.80/613,922.40 = 309,748.80/x
  3. Step 3: Cross multiply
    408,892.80x = 613,922.40 × 309,748.80
  4. Step 4: Simplify right side
    408,892.80x = 190,161,726,693.12
  5. Step 5: Solve for x
    x = 190,161,726,693.12/408,892.80
  6. Step 6: Final answer
    x = 465,064.99

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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.