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Finding the Fourth Proportional to 307,970.25, 424,956.96 and 171,986.82

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Solution

The fourth proportional to 307,970.25, 424,956.96 and 171,986.82 is: 237,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,970.25 : 424,956.96 = 171,986.82 : x
  2. Step 2: Convert to fraction form
    307,970.25/424,956.96 = 171,986.82/x
  3. Step 3: Cross multiply
    307,970.25x = 424,956.96 × 171,986.82
  4. Step 4: Simplify right side
    307,970.25x = 73,086,996,187.27
  5. Step 5: Solve for x
    x = 73,086,996,187.27/307,970.25
  6. Step 6: Final answer
    x = 237,318.36

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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.