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Finding the Fourth Proportional to 300,138.92, 450,209.16 and 122,645.92

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Solution

The fourth proportional to 300,138.92, 450,209.16 and 122,645.92 is: 183,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,138.92 : 450,209.16 = 122,645.92 : x
  2. Step 2: Convert to fraction form
    300,138.92/450,209.16 = 122,645.92/x
  3. Step 3: Cross multiply
    300,138.92x = 450,209.16 × 122,645.92
  4. Step 4: Simplify right side
    300,138.92x = 55,216,316,620.63
  5. Step 5: Solve for x
    x = 55,216,316,620.63/300,138.92
  6. Step 6: Final answer
    x = 183,969.20

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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.