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Finding the Fourth Proportional to 299,493.09, 413,317.20 and 163,539.69

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Solution

The fourth proportional to 299,493.09, 413,317.20 and 163,539.69 is: 225,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,493.09 : 413,317.20 = 163,539.69 : x
  2. Step 2: Convert to fraction form
    299,493.09/413,317.20 = 163,539.69/x
  3. Step 3: Cross multiply
    299,493.09x = 413,317.20 × 163,539.69
  4. Step 4: Simplify right side
    299,493.09x = 67,593,766,759.67
  5. Step 5: Solve for x
    x = 67,593,766,759.67/299,493.09
  6. Step 6: Final answer
    x = 225,693.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.