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Finding the Fourth Proportional to 499,476.84, 689,262.64 and 305,958.12

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Solution

The fourth proportional to 499,476.84, 689,262.64 and 305,958.12 is: 422,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,476.84 : 689,262.64 = 305,958.12 : x
  2. Step 2: Convert to fraction form
    499,476.84/689,262.64 = 305,958.12/x
  3. Step 3: Cross multiply
    499,476.84x = 689,262.64 × 305,958.12
  4. Step 4: Simplify right side
    499,476.84x = 210,885,501,520.64
  5. Step 5: Solve for x
    x = 210,885,501,520.64/499,476.84
  6. Step 6: Final answer
    x = 422,212.77

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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.