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Finding the Fourth Proportional to 224,242.56, 309,453.48 and 123,640.56

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Solution

The fourth proportional to 224,242.56, 309,453.48 and 123,640.56 is: 170,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.56 : 309,453.48 = 123,640.56 : x
  2. Step 2: Convert to fraction form
    224,242.56/309,453.48 = 123,640.56/x
  3. Step 3: Cross multiply
    224,242.56x = 309,453.48 × 123,640.56
  4. Step 4: Simplify right side
    224,242.56x = 38,261,001,561.15
  5. Step 5: Solve for x
    x = 38,261,001,561.15/224,242.56
  6. Step 6: Final answer
    x = 170,623.28

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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.