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Finding the Fourth Proportional to 223,857.28, 308,923.32 and 123,255.28

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Solution

The fourth proportional to 223,857.28, 308,923.32 and 123,255.28 is: 170,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,857.28 : 308,923.32 = 123,255.28 : x
  2. Step 2: Convert to fraction form
    223,857.28/308,923.32 = 123,255.28/x
  3. Step 3: Cross multiply
    223,857.28x = 308,923.32 × 123,255.28
  4. Step 4: Simplify right side
    223,857.28x = 38,076,430,305.13
  5. Step 5: Solve for x
    x = 38,076,430,305.13/223,857.28
  6. Step 6: Final answer
    x = 170,092.44

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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.