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Finding the Fourth Proportional to 299,403.60, 448,449.30 and 158,998.20

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Solution

The fourth proportional to 299,403.60, 448,449.30 and 158,998.20 is: 238,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,403.60 : 448,449.30 = 158,998.20 : x
  2. Step 2: Convert to fraction form
    299,403.60/448,449.30 = 158,998.20/x
  3. Step 3: Cross multiply
    299,403.60x = 448,449.30 × 158,998.20
  4. Step 4: Simplify right side
    299,403.60x = 71,302,631,491.26
  5. Step 5: Solve for x
    x = 71,302,631,491.26/299,403.60
  6. Step 6: Final answer
    x = 238,148.88

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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.