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Finding the Fourth Proportional to 307,797.36, 424,781.72 and 171,858

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Solution

The fourth proportional to 307,797.36, 424,781.72 and 171,858 is: 237,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,797.36 : 424,781.72 = 171,858 : x
  2. Step 2: Convert to fraction form
    307,797.36/424,781.72 = 171,858/x
  3. Step 3: Cross multiply
    307,797.36x = 424,781.72 × 171,858
  4. Step 4: Simplify right side
    307,797.36x = 73,002,136,835.76
  5. Step 5: Solve for x
    x = 73,002,136,835.76/307,797.36
  6. Step 6: Final answer
    x = 237,175.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.