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Finding the Fourth Proportional to 408,998.70, 613,498.05 and 231,851.70

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Solution

The fourth proportional to 408,998.70, 613,498.05 and 231,851.70 is: 347,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,998.70 : 613,498.05 = 231,851.70 : x
  2. Step 2: Convert to fraction form
    408,998.70/613,498.05 = 231,851.70/x
  3. Step 3: Cross multiply
    408,998.70x = 613,498.05 × 231,851.70
  4. Step 4: Simplify right side
    408,998.70x = 142,240,565,839.19
  5. Step 5: Solve for x
    x = 142,240,565,839.19/408,998.70
  6. Step 6: Final answer
    x = 347,777.55

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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.