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Finding the Fourth Proportional to 341,878.40, 513,279.30 and 199,869.20

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Solution

The fourth proportional to 341,878.40, 513,279.30 and 199,869.20 is: 300,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,878.40 : 513,279.30 = 199,869.20 : x
  2. Step 2: Convert to fraction form
    341,878.40/513,279.30 = 199,869.20/x
  3. Step 3: Cross multiply
    341,878.40x = 513,279.30 × 199,869.20
  4. Step 4: Simplify right side
    341,878.40x = 102,588,723,067.56
  5. Step 5: Solve for x
    x = 102,588,723,067.56/341,878.40
  6. Step 6: Final answer
    x = 300,073.72

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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.