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Finding the Fourth Proportional to 285,361.76, 428,070.96 and 105,494.33

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Solution

The fourth proportional to 285,361.76, 428,070.96 and 105,494.33 is: 158,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,361.76 : 428,070.96 = 105,494.33 : x
  2. Step 2: Convert to fraction form
    285,361.76/428,070.96 = 105,494.33/x
  3. Step 3: Cross multiply
    285,361.76x = 428,070.96 × 105,494.33
  4. Step 4: Simplify right side
    285,361.76x = 45,159,056,977.30
  5. Step 5: Solve for x
    x = 45,159,056,977.30/285,361.76
  6. Step 6: Final answer
    x = 158,251.96

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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.