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Finding the Fourth Proportional to 305,012.40, 420,917.16 and 169,055.12

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Solution

The fourth proportional to 305,012.40, 420,917.16 and 169,055.12 is: 233,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,012.40 : 420,917.16 = 169,055.12 : x
  2. Step 2: Convert to fraction form
    305,012.40/420,917.16 = 169,055.12/x
  3. Step 3: Cross multiply
    305,012.40x = 420,917.16 × 169,055.12
  4. Step 4: Simplify right side
    305,012.40x = 71,158,198,889.27
  5. Step 5: Solve for x
    x = 71,158,198,889.27/305,012.40
  6. Step 6: Final answer
    x = 233,296.09

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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.