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Finding the Fourth Proportional to 379,043.34, 523,075.86 and 206,960.76

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Solution

The fourth proportional to 379,043.34, 523,075.86 and 206,960.76 is: 285,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,043.34 : 523,075.86 = 206,960.76 : x
  2. Step 2: Convert to fraction form
    379,043.34/523,075.86 = 206,960.76/x
  3. Step 3: Cross multiply
    379,043.34x = 523,075.86 × 206,960.76
  4. Step 4: Simplify right side
    379,043.34x = 108,256,177,523.25
  5. Step 5: Solve for x
    x = 108,256,177,523.25/379,043.34
  6. Step 6: Final answer
    x = 285,603.69

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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.