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Finding the Fourth Proportional to 299,139.33, 448,334.80 and 149,421.42

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Solution

The fourth proportional to 299,139.33, 448,334.80 and 149,421.42 is: 223,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.33 : 448,334.80 = 149,421.42 : x
  2. Step 2: Convert to fraction form
    299,139.33/448,334.80 = 149,421.42/x
  3. Step 3: Cross multiply
    299,139.33x = 448,334.80 × 149,421.42
  4. Step 4: Simplify right side
    299,139.33x = 66,990,822,451.42
  5. Step 5: Solve for x
    x = 66,990,822,451.42/299,139.33
  6. Step 6: Final answer
    x = 223,945.22

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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.