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Finding the Fourth Proportional to 345,508.64, 518,336.77 and 120,876.40

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Solution

The fourth proportional to 345,508.64, 518,336.77 and 120,876.40 is: 181,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,508.64 : 518,336.77 = 120,876.40 : x
  2. Step 2: Convert to fraction form
    345,508.64/518,336.77 = 120,876.40/x
  3. Step 3: Cross multiply
    345,508.64x = 518,336.77 × 120,876.40
  4. Step 4: Simplify right side
    345,508.64x = 62,654,682,745.23
  5. Step 5: Solve for x
    x = 62,654,682,745.23/345,508.64
  6. Step 6: Final answer
    x = 181,340.42

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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.