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Finding the Fourth Proportional to 481,239.68, 664,016.64 and 302,288

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Solution

The fourth proportional to 481,239.68, 664,016.64 and 302,288 is: 417,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,239.68 : 664,016.64 = 302,288 : x
  2. Step 2: Convert to fraction form
    481,239.68/664,016.64 = 302,288/x
  3. Step 3: Cross multiply
    481,239.68x = 664,016.64 × 302,288
  4. Step 4: Simplify right side
    481,239.68x = 200,724,262,072.32
  5. Step 5: Solve for x
    x = 200,724,262,072.32/481,239.68
  6. Step 6: Final answer
    x = 417,098.32

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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.