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Finding the Fourth Proportional to 300,984.12, 415,400.40 and 186,299.56

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Solution

The fourth proportional to 300,984.12, 415,400.40 and 186,299.56 is: 257,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,984.12 : 415,400.40 = 186,299.56 : x
  2. Step 2: Convert to fraction form
    300,984.12/415,400.40 = 186,299.56/x
  3. Step 3: Cross multiply
    300,984.12x = 415,400.40 × 186,299.56
  4. Step 4: Simplify right side
    300,984.12x = 77,388,911,743.82
  5. Step 5: Solve for x
    x = 77,388,911,743.82/300,984.12
  6. Step 6: Final answer
    x = 257,119.58

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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.