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Finding the Fourth Proportional to 219,004.56, 302,213.94 and 123,505.56

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Solution

The fourth proportional to 219,004.56, 302,213.94 and 123,505.56 is: 170,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,004.56 : 302,213.94 = 123,505.56 : x
  2. Step 2: Convert to fraction form
    219,004.56/302,213.94 = 123,505.56/x
  3. Step 3: Cross multiply
    219,004.56x = 302,213.94 × 123,505.56
  4. Step 4: Simplify right side
    219,004.56x = 37,325,101,436.36
  5. Step 5: Solve for x
    x = 37,325,101,436.36/219,004.56
  6. Step 6: Final answer
    x = 170,430.70

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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.