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Finding the Fourth Proportional to 379,062.68, 523,100.22 and 209,292.44

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Solution

The fourth proportional to 379,062.68, 523,100.22 and 209,292.44 is: 288,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,062.68 : 523,100.22 = 209,292.44 : x
  2. Step 2: Convert to fraction form
    379,062.68/523,100.22 = 209,292.44/x
  3. Step 3: Cross multiply
    379,062.68x = 523,100.22 × 209,292.44
  4. Step 4: Simplify right side
    379,062.68x = 109,480,921,408.34
  5. Step 5: Solve for x
    x = 109,480,921,408.34/379,062.68
  6. Step 6: Final answer
    x = 288,820.10

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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.