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Finding the Fourth Proportional to 455,139, 682,741.31 and 174,656.25

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Solution

The fourth proportional to 455,139, 682,741.31 and 174,656.25 is: 261,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,139 : 682,741.31 = 174,656.25 : x
  2. Step 2: Convert to fraction form
    455,139/682,741.31 = 174,656.25/x
  3. Step 3: Cross multiply
    455,139x = 682,741.31 × 174,656.25
  4. Step 4: Simplify right side
    455,139x = 119,245,036,051.41
  5. Step 5: Solve for x
    x = 119,245,036,051.41/455,139
  6. Step 6: Final answer
    x = 261,996.96

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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.