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Finding the Fourth Proportional to 413,580.24, 620,324.64 and 133,074

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Solution

The fourth proportional to 413,580.24, 620,324.64 and 133,074 is: 199,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,580.24 : 620,324.64 = 133,074 : x
  2. Step 2: Convert to fraction form
    413,580.24/620,324.64 = 133,074/x
  3. Step 3: Cross multiply
    413,580.24x = 620,324.64 × 133,074
  4. Step 4: Simplify right side
    413,580.24x = 82,549,081,143.36
  5. Step 5: Solve for x
    x = 82,549,081,143.36/413,580.24
  6. Step 6: Final answer
    x = 199,596.29

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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.