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Finding the Fourth Proportional to 285,505.77, 427,791.44 and 172,844.52

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Solution

The fourth proportional to 285,505.77, 427,791.44 and 172,844.52 is: 258,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,505.77 : 427,791.44 = 172,844.52 : x
  2. Step 2: Convert to fraction form
    285,505.77/427,791.44 = 172,844.52/x
  3. Step 3: Cross multiply
    285,505.77x = 427,791.44 × 172,844.52
  4. Step 4: Simplify right side
    285,505.77x = 73,941,405,242.69
  5. Step 5: Solve for x
    x = 73,941,405,242.69/285,505.77
  6. Step 6: Final answer
    x = 258,983.93

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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.