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Finding the Fourth Proportional to 559,662.12, 772,311.24 and 305,007.84

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Solution

The fourth proportional to 559,662.12, 772,311.24 and 305,007.84 is: 420,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,662.12 : 772,311.24 = 305,007.84 : x
  2. Step 2: Convert to fraction form
    559,662.12/772,311.24 = 305,007.84/x
  3. Step 3: Cross multiply
    559,662.12x = 772,311.24 × 305,007.84
  4. Step 4: Simplify right side
    559,662.12x = 235,560,983,120.12
  5. Step 5: Solve for x
    x = 235,560,983,120.12/559,662.12
  6. Step 6: Final answer
    x = 420,898.56

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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.