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Finding the Fourth Proportional to 385,107.98, 531,408.11 and 212,998.59

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Solution

The fourth proportional to 385,107.98, 531,408.11 and 212,998.59 is: 293,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,107.98 : 531,408.11 = 212,998.59 : x
  2. Step 2: Convert to fraction form
    385,107.98/531,408.11 = 212,998.59/x
  3. Step 3: Cross multiply
    385,107.98x = 531,408.11 × 212,998.59
  4. Step 4: Simplify right side
    385,107.98x = 113,189,177,079.57
  5. Step 5: Solve for x
    x = 113,189,177,079.57/385,107.98
  6. Step 6: Final answer
    x = 293,915.43

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1.5x scale

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.