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Finding the Fourth Proportional to 285,903.63, 428,691.37 and 108,297.36

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Solution

The fourth proportional to 285,903.63, 428,691.37 and 108,297.36 is: 162,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903.63 : 428,691.37 = 108,297.36 : x
  2. Step 2: Convert to fraction form
    285,903.63/428,691.37 = 108,297.36/x
  3. Step 3: Cross multiply
    285,903.63x = 428,691.37 × 108,297.36
  4. Step 4: Simplify right side
    285,903.63x = 46,426,143,625.78
  5. Step 5: Solve for x
    x = 46,426,143,625.78/285,903.63
  6. Step 6: Final answer
    x = 162,383.89

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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.