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Finding the Fourth Proportional to 285,902.63, 428,689.87 and 108,296.36

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Solution

The fourth proportional to 285,902.63, 428,689.87 and 108,296.36 is: 162,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,902.63 : 428,689.87 = 108,296.36 : x
  2. Step 2: Convert to fraction form
    285,902.63/428,689.87 = 108,296.36/x
  3. Step 3: Cross multiply
    285,902.63x = 428,689.87 × 108,296.36
  4. Step 4: Simplify right side
    285,902.63x = 46,425,552,489.87
  5. Step 5: Solve for x
    x = 46,425,552,489.87/285,902.63
  6. Step 6: Final answer
    x = 162,382.39

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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.