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Finding the Fourth Proportional to 300,984.92, 415,216.08 and 180,101.86

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Solution

The fourth proportional to 300,984.92, 415,216.08 and 180,101.86 is: 248,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,984.92 : 415,216.08 = 180,101.86 : x
  2. Step 2: Convert to fraction form
    300,984.92/415,216.08 = 180,101.86/x
  3. Step 3: Cross multiply
    300,984.92x = 415,216.08 × 180,101.86
  4. Step 4: Simplify right side
    300,984.92x = 74,781,188,309.91
  5. Step 5: Solve for x
    x = 74,781,188,309.91/300,984.92
  6. Step 6: Final answer
    x = 248,454.93

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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.