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Finding the Fourth Proportional to 300,171.88, 413,756.58 and 203,346.28

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Solution

The fourth proportional to 300,171.88, 413,756.58 and 203,346.28 is: 280,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,171.88 : 413,756.58 = 203,346.28 : x
  2. Step 2: Convert to fraction form
    300,171.88/413,756.58 = 203,346.28/x
  3. Step 3: Cross multiply
    300,171.88x = 413,756.58 × 203,346.28
  4. Step 4: Simplify right side
    300,171.88x = 84,135,861,368.52
  5. Step 5: Solve for x
    x = 84,135,861,368.52/300,171.88
  6. Step 6: Final answer
    x = 280,292.28

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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.