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Finding the Fourth Proportional to 309,505.94, 427,304.49 and 202,255.46

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Solution

The fourth proportional to 309,505.94, 427,304.49 and 202,255.46 is: 279,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,505.94 : 427,304.49 = 202,255.46 : x
  2. Step 2: Convert to fraction form
    309,505.94/427,304.49 = 202,255.46/x
  3. Step 3: Cross multiply
    309,505.94x = 427,304.49 × 202,255.46
  4. Step 4: Simplify right side
    309,505.94x = 86,424,666,185.02
  5. Step 5: Solve for x
    x = 86,424,666,185.02/309,505.94
  6. Step 6: Final answer
    x = 279,234.27

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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.