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Finding the Fourth Proportional to 300,659.10, 450,988.65 and 253,419.90

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Solution

The fourth proportional to 300,659.10, 450,988.65 and 253,419.90 is: 380,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,659.10 : 450,988.65 = 253,419.90 : x
  2. Step 2: Convert to fraction form
    300,659.10/450,988.65 = 253,419.90/x
  3. Step 3: Cross multiply
    300,659.10x = 450,988.65 × 253,419.90
  4. Step 4: Simplify right side
    300,659.10x = 114,289,498,584.14
  5. Step 5: Solve for x
    x = 114,289,498,584.14/300,659.10
  6. Step 6: Final answer
    x = 380,129.85

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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.