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Finding the Fourth Proportional to 256,161.87, 383,644.98 and 202,493.57

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Solution

The fourth proportional to 256,161.87, 383,644.98 and 202,493.57 is: 303,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,161.87 : 383,644.98 = 202,493.57 : x
  2. Step 2: Convert to fraction form
    256,161.87/383,644.98 = 202,493.57/x
  3. Step 3: Cross multiply
    256,161.87x = 383,644.98 × 202,493.57
  4. Step 4: Simplify right side
    256,161.87x = 77,685,642,422.07
  5. Step 5: Solve for x
    x = 77,685,642,422.07/256,161.87
  6. Step 6: Final answer
    x = 303,267.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.