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Finding the Fourth Proportional to 413,536.10, 620,390.55 and 133,081.70

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Solution

The fourth proportional to 413,536.10, 620,390.55 and 133,081.70 is: 199,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,536.10 : 620,390.55 = 133,081.70 : x
  2. Step 2: Convert to fraction form
    413,536.10/620,390.55 = 133,081.70/x
  3. Step 3: Cross multiply
    413,536.10x = 620,390.55 × 133,081.70
  4. Step 4: Simplify right side
    413,536.10x = 82,562,629,057.94
  5. Step 5: Solve for x
    x = 82,562,629,057.94/413,536.10
  6. Step 6: Final answer
    x = 199,650.35

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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.