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Finding the Fourth Proportional to 285,577.26, 428,045.10 and 135,694.86

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Solution

The fourth proportional to 285,577.26, 428,045.10 and 135,694.86 is: 203,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,577.26 : 428,045.10 = 135,694.86 : x
  2. Step 2: Convert to fraction form
    285,577.26/428,045.10 = 135,694.86/x
  3. Step 3: Cross multiply
    285,577.26x = 428,045.10 × 135,694.86
  4. Step 4: Simplify right side
    285,577.26x = 58,083,519,918.19
  5. Step 5: Solve for x
    x = 58,083,519,918.19/285,577.26
  6. Step 6: Final answer
    x = 203,389.86

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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.