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Finding the Fourth Proportional to 307,327.26, 424,109.87 and 171,362.84

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Solution

The fourth proportional to 307,327.26, 424,109.87 and 171,362.84 is: 236,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,327.26 : 424,109.87 = 171,362.84 : x
  2. Step 2: Convert to fraction form
    307,327.26/424,109.87 = 171,362.84/x
  3. Step 3: Cross multiply
    307,327.26x = 424,109.87 × 171,362.84
  4. Step 4: Simplify right side
    307,327.26x = 72,676,672,810.01
  5. Step 5: Solve for x
    x = 72,676,672,810.01/307,327.26
  6. Step 6: Final answer
    x = 236,479.74

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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.