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Finding the Fourth Proportional to 299,206.38, 448,808.34 and 121,711.90

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Solution

The fourth proportional to 299,206.38, 448,808.34 and 121,711.90 is: 182,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,206.38 : 448,808.34 = 121,711.90 : x
  2. Step 2: Convert to fraction form
    299,206.38/448,808.34 = 121,711.90/x
  3. Step 3: Cross multiply
    299,206.38x = 448,808.34 × 121,711.90
  4. Step 4: Simplify right side
    299,206.38x = 54,625,315,797.25
  5. Step 5: Solve for x
    x = 54,625,315,797.25/299,206.38
  6. Step 6: Final answer
    x = 182,567.35

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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.