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Finding the Fourth Proportional to 313,995.94, 433,091.54 and 192,978.30

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Solution

The fourth proportional to 313,995.94, 433,091.54 and 192,978.30 is: 266,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,995.94 : 433,091.54 = 192,978.30 : x
  2. Step 2: Convert to fraction form
    313,995.94/433,091.54 = 192,978.30/x
  3. Step 3: Cross multiply
    313,995.94x = 433,091.54 × 192,978.30
  4. Step 4: Simplify right side
    313,995.94x = 83,577,269,133.58
  5. Step 5: Solve for x
    x = 83,577,269,133.58/313,995.94
  6. Step 6: Final answer
    x = 266,173.09

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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.