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Finding the Fourth Proportional to 307,418, 424,236.84 and 173,282

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Solution

The fourth proportional to 307,418, 424,236.84 and 173,282 is: 239,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,418 : 424,236.84 = 173,282 : x
  2. Step 2: Convert to fraction form
    307,418/424,236.84 = 173,282/x
  3. Step 3: Cross multiply
    307,418x = 424,236.84 × 173,282
  4. Step 4: Simplify right side
    307,418x = 73,512,608,108.88
  5. Step 5: Solve for x
    x = 73,512,608,108.88/307,418
  6. Step 6: Final answer
    x = 239,129.16

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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.