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Finding the Fourth Proportional to 415,804.46, 623,716.42 and 135,343.58

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Solution

The fourth proportional to 415,804.46, 623,716.42 and 135,343.58 is: 203,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,804.46 : 623,716.42 = 135,343.58 : x
  2. Step 2: Convert to fraction form
    415,804.46/623,716.42 = 135,343.58/x
  3. Step 3: Cross multiply
    415,804.46x = 623,716.42 × 135,343.58
  4. Step 4: Simplify right side
    415,804.46x = 84,416,013,187.58
  5. Step 5: Solve for x
    x = 84,416,013,187.58/415,804.46
  6. Step 6: Final answer
    x = 203,018.54

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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.