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Finding the Fourth Proportional to 305,861.30, 457,917.15 and 305,861.30

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Solution

The fourth proportional to 305,861.30, 457,917.15 and 305,861.30 is: 457,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,861.30 : 457,917.15 = 305,861.30 : x
  2. Step 2: Convert to fraction form
    305,861.30/457,917.15 = 305,861.30/x
  3. Step 3: Cross multiply
    305,861.30x = 457,917.15 × 305,861.30
  4. Step 4: Simplify right side
    305,861.30x = 140,059,134,791.30
  5. Step 5: Solve for x
    x = 140,059,134,791.30/305,861.30
  6. Step 6: Final answer
    x = 457,917.15

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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.