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Finding the Fourth Proportional to 307,318.36, 424,060.86 and 171,319

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Solution

The fourth proportional to 307,318.36, 424,060.86 and 171,319 is: 236,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,318.36 : 424,060.86 = 171,319 : x
  2. Step 2: Convert to fraction form
    307,318.36/424,060.86 = 171,319/x
  3. Step 3: Cross multiply
    307,318.36x = 424,060.86 × 171,319
  4. Step 4: Simplify right side
    307,318.36x = 72,649,682,474.34
  5. Step 5: Solve for x
    x = 72,649,682,474.34/307,318.36
  6. Step 6: Final answer
    x = 236,398.77

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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.