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Finding the Fourth Proportional to 300,078.34, 413,913 and 192,477.94

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Solution

The fourth proportional to 300,078.34, 413,913 and 192,477.94 is: 265,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,078.34 : 413,913 = 192,477.94 : x
  2. Step 2: Convert to fraction form
    300,078.34/413,913 = 192,477.94/x
  3. Step 3: Cross multiply
    300,078.34x = 413,913 × 192,477.94
  4. Step 4: Simplify right side
    300,078.34x = 79,669,121,579.22
  5. Step 5: Solve for x
    x = 79,669,121,579.22/300,078.34
  6. Step 6: Final answer
    x = 265,494.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.