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Finding the Fourth Proportional to 286,033.82, 428,989.98 and 108,478.58

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Solution

The fourth proportional to 286,033.82, 428,989.98 and 108,478.58 is: 162,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,033.82 : 428,989.98 = 108,478.58 : x
  2. Step 2: Convert to fraction form
    286,033.82/428,989.98 = 108,478.58/x
  3. Step 3: Cross multiply
    286,033.82x = 428,989.98 × 108,478.58
  4. Step 4: Simplify right side
    286,033.82x = 46,536,223,864.63
  5. Step 5: Solve for x
    x = 46,536,223,864.63/286,033.82
  6. Step 6: Final answer
    x = 162,694.83

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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.