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Finding the Fourth Proportional to 307,407, 424,221.66 and 173,271

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Solution

The fourth proportional to 307,407, 424,221.66 and 173,271 is: 239,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,407 : 424,221.66 = 173,271 : x
  2. Step 2: Convert to fraction form
    307,407/424,221.66 = 173,271/x
  3. Step 3: Cross multiply
    307,407x = 424,221.66 × 173,271
  4. Step 4: Simplify right side
    307,407x = 73,505,311,249.86
  5. Step 5: Solve for x
    x = 73,505,311,249.86/307,407
  6. Step 6: Final answer
    x = 239,113.98

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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.