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Finding the Fourth Proportional to 299,138.40, 448,926.30 and 199,265.40

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Solution

The fourth proportional to 299,138.40, 448,926.30 and 199,265.40 is: 299,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,138.40 : 448,926.30 = 199,265.40 : x
  2. Step 2: Convert to fraction form
    299,138.40/448,926.30 = 199,265.40/x
  3. Step 3: Cross multiply
    299,138.40x = 448,926.30 × 199,265.40
  4. Step 4: Simplify right side
    299,138.40x = 89,455,478,740.02
  5. Step 5: Solve for x
    x = 89,455,478,740.02/299,138.40
  6. Step 6: Final answer
    x = 299,043.78

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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.