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Finding the Fourth Proportional to 300,889.52, 415,270.12 and 186,205.10

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Solution

The fourth proportional to 300,889.52, 415,270.12 and 186,205.10 is: 256,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,889.52 : 415,270.12 = 186,205.10 : x
  2. Step 2: Convert to fraction form
    300,889.52/415,270.12 = 186,205.10/x
  3. Step 3: Cross multiply
    300,889.52x = 415,270.12 × 186,205.10
  4. Step 4: Simplify right side
    300,889.52x = 77,325,414,221.61
  5. Step 5: Solve for x
    x = 77,325,414,221.61/300,889.52
  6. Step 6: Final answer
    x = 256,989.39

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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.