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Finding the Fourth Proportional to 496,262.52, 684,622.64 and 305,163

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Solution

The fourth proportional to 496,262.52, 684,622.64 and 305,163 is: 420,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,262.52 : 684,622.64 = 305,163 : x
  2. Step 2: Convert to fraction form
    496,262.52/684,622.64 = 305,163/x
  3. Step 3: Cross multiply
    496,262.52x = 684,622.64 × 305,163
  4. Step 4: Simplify right side
    496,262.52x = 208,921,498,690.32
  5. Step 5: Solve for x
    x = 208,921,498,690.32/496,262.52
  6. Step 6: Final answer
    x = 420,989.88

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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.